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Finding the Fourth Proportional to 564,561.38, 847,008.42 and 227,428.55

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Solution

The fourth proportional to 564,561.38, 847,008.42 and 227,428.55 is: 341,209.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,561.38 : 847,008.42 = 227,428.55 : x
  2. Step 2: Convert to fraction form
    564,561.38/847,008.42 = 227,428.55/x
  3. Step 3: Cross multiply
    564,561.38x = 847,008.42 × 227,428.55
  4. Step 4: Simplify right side
    564,561.38x = 192,633,892,563.35
  5. Step 5: Solve for x
    x = 192,633,892,563.35/564,561.38
  6. Step 6: Final answer
    x = 341,209.83

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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.