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Finding the Fourth Proportional to 313,929.92, 471,190.80 and 114,443.12

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Solution

The fourth proportional to 313,929.92, 471,190.80 and 114,443.12 is: 171,772.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,929.92 : 471,190.80 = 114,443.12 : x
  2. Step 2: Convert to fraction form
    313,929.92/471,190.80 = 114,443.12/x
  3. Step 3: Cross multiply
    313,929.92x = 471,190.80 × 114,443.12
  4. Step 4: Simplify right side
    313,929.92x = 53,924,545,267.30
  5. Step 5: Solve for x
    x = 53,924,545,267.30/313,929.92
  6. Step 6: Final answer
    x = 171,772.56

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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.