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Finding the Fourth Proportional to 541,238.38, 746,890.56 and 299,531.14

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Solution

The fourth proportional to 541,238.38, 746,890.56 and 299,531.14 is: 413,342.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,238.38 : 746,890.56 = 299,531.14 : x
  2. Step 2: Convert to fraction form
    541,238.38/746,890.56 = 299,531.14/x
  3. Step 3: Cross multiply
    541,238.38x = 746,890.56 × 299,531.14
  4. Step 4: Simplify right side
    541,238.38x = 223,716,980,892.04
  5. Step 5: Solve for x
    x = 223,716,980,892.04/541,238.38
  6. Step 6: Final answer
    x = 413,342.79

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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.