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Finding the Fourth Proportional to 457,366.28, 686,158.41 and 157,849.46

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Solution

The fourth proportional to 457,366.28, 686,158.41 and 157,849.46 is: 236,811.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,366.28 : 686,158.41 = 157,849.46 : x
  2. Step 2: Convert to fraction form
    457,366.28/686,158.41 = 157,849.46/x
  3. Step 3: Cross multiply
    457,366.28x = 686,158.41 × 157,849.46
  4. Step 4: Simplify right side
    457,366.28x = 108,309,734,227.20
  5. Step 5: Solve for x
    x = 108,309,734,227.20/457,366.28
  6. Step 6: Final answer
    x = 236,811.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.