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Finding the Fourth Proportional to 648,019.80, 972,029.70 and 410,657.40

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Solution

The fourth proportional to 648,019.80, 972,029.70 and 410,657.40 is: 615,986.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,019.80 : 972,029.70 = 410,657.40 : x
  2. Step 2: Convert to fraction form
    648,019.80/972,029.70 = 410,657.40/x
  3. Step 3: Cross multiply
    648,019.80x = 972,029.70 × 410,657.40
  4. Step 4: Simplify right side
    648,019.80x = 399,171,189,324.78
  5. Step 5: Solve for x
    x = 399,171,189,324.78/648,019.80
  6. Step 6: Final answer
    x = 615,986.10

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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.