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Finding the Fourth Proportional to 458,500.40, 686,195.40 and 402,513.20

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Solution

The fourth proportional to 458,500.40, 686,195.40 and 402,513.20 is: 602,404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,500.40 : 686,195.40 = 402,513.20 : x
  2. Step 2: Convert to fraction form
    458,500.40/686,195.40 = 402,513.20/x
  3. Step 3: Cross multiply
    458,500.40x = 686,195.40 × 402,513.20
  4. Step 4: Simplify right side
    458,500.40x = 276,202,706,279.28
  5. Step 5: Solve for x
    x = 276,202,706,279.28/458,500.40
  6. Step 6: Final answer
    x = 602,404.50

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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.