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Finding the Fourth Proportional to 541,687.86, 747,528.57 and 299,970.15

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Solution

The fourth proportional to 541,687.86, 747,528.57 and 299,970.15 is: 413,958.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,687.86 : 747,528.57 = 299,970.15 : x
  2. Step 2: Convert to fraction form
    541,687.86/747,528.57 = 299,970.15/x
  3. Step 3: Cross multiply
    541,687.86x = 747,528.57 × 299,970.15
  4. Step 4: Simplify right side
    541,687.86x = 224,236,257,272.19
  5. Step 5: Solve for x
    x = 224,236,257,272.19/541,687.86
  6. Step 6: Final answer
    x = 413,958.43

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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.