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Finding the Fourth Proportional to 564,882.60, 847,323.42 and 144,158.52

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Solution

The fourth proportional to 564,882.60, 847,323.42 and 144,158.52 is: 216,237.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,882.60 : 847,323.42 = 144,158.52 : x
  2. Step 2: Convert to fraction form
    564,882.60/847,323.42 = 144,158.52/x
  3. Step 3: Cross multiply
    564,882.60x = 847,323.42 × 144,158.52
  4. Step 4: Simplify right side
    564,882.60x = 122,148,890,188.54
  5. Step 5: Solve for x
    x = 122,148,890,188.54/564,882.60
  6. Step 6: Final answer
    x = 216,237.66

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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.