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Finding the Fourth Proportional to 402,169.80, 603,254.70 and 307,691.40

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Solution

The fourth proportional to 402,169.80, 603,254.70 and 307,691.40 is: 461,537.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,169.80 : 603,254.70 = 307,691.40 : x
  2. Step 2: Convert to fraction form
    402,169.80/603,254.70 = 307,691.40/x
  3. Step 3: Cross multiply
    402,169.80x = 603,254.70 × 307,691.40
  4. Step 4: Simplify right side
    402,169.80x = 185,616,283,199.58
  5. Step 5: Solve for x
    x = 185,616,283,199.58/402,169.80
  6. Step 6: Final answer
    x = 461,537.10

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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.