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Finding the Fourth Proportional to 372,314.96, 513,778.45 and 206,732.62

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Solution

The fourth proportional to 372,314.96, 513,778.45 and 206,732.62 is: 285,282.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,314.96 : 513,778.45 = 206,732.62 : x
  2. Step 2: Convert to fraction form
    372,314.96/513,778.45 = 206,732.62/x
  3. Step 3: Cross multiply
    372,314.96x = 513,778.45 × 206,732.62
  4. Step 4: Simplify right side
    372,314.96x = 106,214,762,499.15
  5. Step 5: Solve for x
    x = 106,214,762,499.15/372,314.96
  6. Step 6: Final answer
    x = 285,282.02

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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.