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Finding the Fourth Proportional to 317,127.92, 475,627.34 and 117,400.83

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Solution

The fourth proportional to 317,127.92, 475,627.34 and 117,400.83 is: 176,077.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,127.92 : 475,627.34 = 117,400.83 : x
  2. Step 2: Convert to fraction form
    317,127.92/475,627.34 = 117,400.83/x
  3. Step 3: Cross multiply
    317,127.92x = 475,627.34 × 117,400.83
  4. Step 4: Simplify right side
    317,127.92x = 55,839,044,486.69
  5. Step 5: Solve for x
    x = 55,839,044,486.69/317,127.92
  6. Step 6: Final answer
    x = 176,077.35

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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.