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Finding the Fourth Proportional to 541,687.35, 747,527.86 and 299,969.63

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Solution

The fourth proportional to 541,687.35, 747,527.86 and 299,969.63 is: 413,957.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,687.35 : 747,527.86 = 299,969.63 : x
  2. Step 2: Convert to fraction form
    541,687.35/747,527.86 = 299,969.63/x
  3. Step 3: Cross multiply
    541,687.35x = 747,527.86 × 299,969.63
  4. Step 4: Simplify right side
    541,687.35x = 224,235,655,863.11
  5. Step 5: Solve for x
    x = 224,235,655,863.11/541,687.35
  6. Step 6: Final answer
    x = 413,957.71

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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.