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Finding the Fourth Proportional to 317,371.70, 437,972.91 and 181,408.55

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Solution

The fourth proportional to 317,371.70, 437,972.91 and 181,408.55 is: 250,343.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,371.70 : 437,972.91 = 181,408.55 : x
  2. Step 2: Convert to fraction form
    317,371.70/437,972.91 = 181,408.55/x
  3. Step 3: Cross multiply
    317,371.70x = 437,972.91 × 181,408.55
  4. Step 4: Simplify right side
    317,371.70x = 79,452,030,542.38
  5. Step 5: Solve for x
    x = 79,452,030,542.38/317,371.70
  6. Step 6: Final answer
    x = 250,343.78

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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.