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Finding the Fourth Proportional to 564,217.65, 846,322.83 and 143,489.88

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Solution

The fourth proportional to 564,217.65, 846,322.83 and 143,489.88 is: 215,233.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,217.65 : 846,322.83 = 143,489.88 : x
  2. Step 2: Convert to fraction form
    564,217.65/846,322.83 = 143,489.88/x
  3. Step 3: Cross multiply
    564,217.65x = 846,322.83 × 143,489.88
  4. Step 4: Simplify right side
    564,217.65x = 121,438,761,317.96
  5. Step 5: Solve for x
    x = 121,438,761,317.96/564,217.65
  6. Step 6: Final answer
    x = 215,233.89

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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.