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Finding the Fourth Proportional to 329,132.16, 493,698.24 and 79,812

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Solution

The fourth proportional to 329,132.16, 493,698.24 and 79,812 is: 119,718

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,132.16 : 493,698.24 = 79,812 : x
  2. Step 2: Convert to fraction form
    329,132.16/493,698.24 = 79,812/x
  3. Step 3: Cross multiply
    329,132.16x = 493,698.24 × 79,812
  4. Step 4: Simplify right side
    329,132.16x = 39,403,043,930.88
  5. Step 5: Solve for x
    x = 39,403,043,930.88/329,132.16
  6. Step 6: Final answer
    x = 119,718

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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.