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Finding the Fourth Proportional to 317,006.78, 437,467.28 and 173,772.86

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Solution

The fourth proportional to 317,006.78, 437,467.28 and 173,772.86 is: 239,805.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,006.78 : 437,467.28 = 173,772.86 : x
  2. Step 2: Convert to fraction form
    317,006.78/437,467.28 = 173,772.86/x
  3. Step 3: Cross multiply
    317,006.78x = 437,467.28 × 173,772.86
  4. Step 4: Simplify right side
    317,006.78x = 76,019,940,402.02
  5. Step 5: Solve for x
    x = 76,019,940,402.02/317,006.78
  6. Step 6: Final answer
    x = 239,805.41

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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.