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Finding the Fourth Proportional to 457,562.82, 686,452.20 and 158,045.88

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Solution

The fourth proportional to 457,562.82, 686,452.20 and 158,045.88 is: 237,106.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,562.82 : 686,452.20 = 158,045.88 : x
  2. Step 2: Convert to fraction form
    457,562.82/686,452.20 = 158,045.88/x
  3. Step 3: Cross multiply
    457,562.82x = 686,452.20 × 158,045.88
  4. Step 4: Simplify right side
    457,562.82x = 108,490,942,026.94
  5. Step 5: Solve for x
    x = 108,490,942,026.94/457,562.82
  6. Step 6: Final answer
    x = 237,106.11

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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.