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Finding the Fourth Proportional to 648,015.40, 972,023.10 and 471,759.40

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Solution

The fourth proportional to 648,015.40, 972,023.10 and 471,759.40 is: 707,639.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,015.40 : 972,023.10 = 471,759.40 : x
  2. Step 2: Convert to fraction form
    648,015.40/972,023.10 = 471,759.40/x
  3. Step 3: Cross multiply
    648,015.40x = 972,023.10 × 471,759.40
  4. Step 4: Simplify right side
    648,015.40x = 458,561,034,442.14
  5. Step 5: Solve for x
    x = 458,561,034,442.14/648,015.40
  6. Step 6: Final answer
    x = 707,639.10

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.