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Finding the Fourth Proportional to 329,546.88, 493,931.52 and 151,891.20

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Solution

The fourth proportional to 329,546.88, 493,931.52 and 151,891.20 is: 227,657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,546.88 : 493,931.52 = 151,891.20 : x
  2. Step 2: Convert to fraction form
    329,546.88/493,931.52 = 151,891.20/x
  3. Step 3: Cross multiply
    329,546.88x = 493,931.52 × 151,891.20
  4. Step 4: Simplify right side
    329,546.88x = 75,023,851,290.62
  5. Step 5: Solve for x
    x = 75,023,851,290.62/329,546.88
  6. Step 6: Final answer
    x = 227,657.60

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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.