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Finding the Fourth Proportional to 317,454.48, 475,877.92 and 117,721.44

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Solution

The fourth proportional to 317,454.48, 475,877.92 and 117,721.44 is: 176,469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,454.48 : 475,877.92 = 117,721.44 : x
  2. Step 2: Convert to fraction form
    317,454.48/475,877.92 = 117,721.44/x
  3. Step 3: Cross multiply
    317,454.48x = 475,877.92 × 117,721.44
  4. Step 4: Simplify right side
    317,454.48x = 56,021,034,006.60
  5. Step 5: Solve for x
    x = 56,021,034,006.60/317,454.48
  6. Step 6: Final answer
    x = 176,469.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.