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Finding the Fourth Proportional to 564,908.52, 847,253.22 and 160,097.25

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Solution

The fourth proportional to 564,908.52, 847,253.22 and 160,097.25 is: 240,114.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,908.52 : 847,253.22 = 160,097.25 : x
  2. Step 2: Convert to fraction form
    564,908.52/847,253.22 = 160,097.25/x
  3. Step 3: Cross multiply
    564,908.52x = 847,253.22 × 160,097.25
  4. Step 4: Simplify right side
    564,908.52x = 135,642,910,575.65
  5. Step 5: Solve for x
    x = 135,642,910,575.65/564,908.52
  6. Step 6: Final answer
    x = 240,114.83

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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.