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Finding the Fourth Proportional to 412,898.67, 569,864.03 and 231,683.85

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Solution

The fourth proportional to 412,898.67, 569,864.03 and 231,683.85 is: 319,759.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,898.67 : 569,864.03 = 231,683.85 : x
  2. Step 2: Convert to fraction form
    412,898.67/569,864.03 = 231,683.85/x
  3. Step 3: Cross multiply
    412,898.67x = 569,864.03 × 231,683.85
  4. Step 4: Simplify right side
    412,898.67x = 132,028,291,288.50
  5. Step 5: Solve for x
    x = 132,028,291,288.50/412,898.67
  6. Step 6: Final answer
    x = 319,759.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.