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Finding the Fourth Proportional to 457,376.96, 686,174.47 and 157,860.16

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Solution

The fourth proportional to 457,376.96, 686,174.47 and 157,860.16 is: 236,827.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,376.96 : 686,174.47 = 157,860.16 : x
  2. Step 2: Convert to fraction form
    457,376.96/686,174.47 = 157,860.16/x
  3. Step 3: Cross multiply
    457,376.96x = 686,174.47 × 157,860.16
  4. Step 4: Simplify right side
    457,376.96x = 108,319,609,512.03
  5. Step 5: Solve for x
    x = 108,319,609,512.03/457,376.96
  6. Step 6: Final answer
    x = 236,827.86

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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.