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Finding the Fourth Proportional to 541,686.87, 747,527.20 and 299,969.15

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Solution

The fourth proportional to 541,686.87, 747,527.20 and 299,969.15 is: 413,957.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,686.87 : 747,527.20 = 299,969.15 : x
  2. Step 2: Convert to fraction form
    541,686.87/747,527.20 = 299,969.15/x
  3. Step 3: Cross multiply
    541,686.87x = 747,527.20 × 299,969.15
  4. Step 4: Simplify right side
    541,686.87x = 224,235,093,548.40
  5. Step 5: Solve for x
    x = 224,235,093,548.40/541,686.87
  6. Step 6: Final answer
    x = 413,957.04

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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.