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Finding the Fourth Proportional to 541,126.50, 746,752.14 and 311,600.04

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Solution

The fourth proportional to 541,126.50, 746,752.14 and 311,600.04 is: 430,006.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,126.50 : 746,752.14 = 311,600.04 : x
  2. Step 2: Convert to fraction form
    541,126.50/746,752.14 = 311,600.04/x
  3. Step 3: Cross multiply
    541,126.50x = 746,752.14 × 311,600.04
  4. Step 4: Simplify right side
    541,126.50x = 232,687,996,694.09
  5. Step 5: Solve for x
    x = 232,687,996,694.09/541,126.50
  6. Step 6: Final answer
    x = 430,006.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.