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Finding the Fourth Proportional to 316,708, 437,044.24 and 189,453.92

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Solution

The fourth proportional to 316,708, 437,044.24 and 189,453.92 is: 261,438.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,708 : 437,044.24 = 189,453.92 : x
  2. Step 2: Convert to fraction form
    316,708/437,044.24 = 189,453.92/x
  3. Step 3: Cross multiply
    316,708x = 437,044.24 × 189,453.92
  4. Step 4: Simplify right side
    316,708x = 82,799,744,481.42
  5. Step 5: Solve for x
    x = 82,799,744,481.42/316,708
  6. Step 6: Final answer
    x = 261,438.75

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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.