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Finding the Fourth Proportional to 396,814.98, 547,510.86 and 233,478.61

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Solution

The fourth proportional to 396,814.98, 547,510.86 and 233,478.61 is: 322,145.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,814.98 : 547,510.86 = 233,478.61 : x
  2. Step 2: Convert to fraction form
    396,814.98/547,510.86 = 233,478.61/x
  3. Step 3: Cross multiply
    396,814.98x = 547,510.86 × 233,478.61
  4. Step 4: Simplify right side
    396,814.98x = 127,832,074,835.80
  5. Step 5: Solve for x
    x = 127,832,074,835.80/396,814.98
  6. Step 6: Final answer
    x = 322,145.29

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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.