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Finding the Fourth Proportional to 418,411.40, 627,617.10 and 402,081.80

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Solution

The fourth proportional to 418,411.40, 627,617.10 and 402,081.80 is: 603,122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,411.40 : 627,617.10 = 402,081.80 : x
  2. Step 2: Convert to fraction form
    418,411.40/627,617.10 = 402,081.80/x
  3. Step 3: Cross multiply
    418,411.40x = 627,617.10 × 402,081.80
  4. Step 4: Simplify right side
    418,411.40x = 252,353,413,278.78
  5. Step 5: Solve for x
    x = 252,353,413,278.78/418,411.40
  6. Step 6: Final answer
    x = 603,122.70

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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.