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Finding the Fourth Proportional to 648,068.40, 972,102.60 and 412,455.60

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Solution

The fourth proportional to 648,068.40, 972,102.60 and 412,455.60 is: 618,683.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,068.40 : 972,102.60 = 412,455.60 : x
  2. Step 2: Convert to fraction form
    648,068.40/972,102.60 = 412,455.60/x
  3. Step 3: Cross multiply
    648,068.40x = 972,102.60 × 412,455.60
  4. Step 4: Simplify right side
    648,068.40x = 400,949,161,144.56
  5. Step 5: Solve for x
    x = 400,949,161,144.56/648,068.40
  6. Step 6: Final answer
    x = 618,683.40

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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.