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Finding the Fourth Proportional to 457,152.58, 685,773.96 and 157,593.75

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Solution

The fourth proportional to 457,152.58, 685,773.96 and 157,593.75 is: 236,406.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,152.58 : 685,773.96 = 157,593.75 : x
  2. Step 2: Convert to fraction form
    457,152.58/685,773.96 = 157,593.75/x
  3. Step 3: Cross multiply
    457,152.58x = 685,773.96 × 157,593.75
  4. Step 4: Simplify right side
    457,152.58x = 108,073,690,008.75
  5. Step 5: Solve for x
    x = 108,073,690,008.75/457,152.58
  6. Step 6: Final answer
    x = 236,406.17

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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.