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Finding the Fourth Proportional to 457,357.97, 686,145.96 and 157,841.14

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Solution

The fourth proportional to 457,357.97, 686,145.96 and 157,841.14 is: 236,799.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,357.97 : 686,145.96 = 157,841.14 : x
  2. Step 2: Convert to fraction form
    457,357.97/686,145.96 = 157,841.14/x
  3. Step 3: Cross multiply
    457,357.97x = 686,145.96 × 157,841.14
  4. Step 4: Simplify right side
    457,357.97x = 108,302,063,442.56
  5. Step 5: Solve for x
    x = 108,302,063,442.56/457,357.97
  6. Step 6: Final answer
    x = 236,799.34

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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.