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Finding the Fourth Proportional to 652,139.70, 978,209.55 and 402,962.10

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Solution

The fourth proportional to 652,139.70, 978,209.55 and 402,962.10 is: 604,443.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,139.70 : 978,209.55 = 402,962.10 : x
  2. Step 2: Convert to fraction form
    652,139.70/978,209.55 = 402,962.10/x
  3. Step 3: Cross multiply
    652,139.70x = 978,209.55 × 402,962.10
  4. Step 4: Simplify right side
    652,139.70x = 394,181,374,508.06
  5. Step 5: Solve for x
    x = 394,181,374,508.06/652,139.70
  6. Step 6: Final answer
    x = 604,443.15

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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.