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Finding the Fourth Proportional to 317,002.86, 437,469.24 and 171,813.29

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Solution

The fourth proportional to 317,002.86, 437,469.24 and 171,813.29 is: 237,105.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,002.86 : 437,469.24 = 171,813.29 : x
  2. Step 2: Convert to fraction form
    317,002.86/437,469.24 = 171,813.29/x
  3. Step 3: Cross multiply
    317,002.86x = 437,469.24 × 171,813.29
  4. Step 4: Simplify right side
    317,002.86x = 75,163,030,491.87
  5. Step 5: Solve for x
    x = 75,163,030,491.87/317,002.86
  6. Step 6: Final answer
    x = 237,105.21

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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.