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Finding the Fourth Proportional to 431,851.76, 647,754.28 and 132,333.20

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Solution

The fourth proportional to 431,851.76, 647,754.28 and 132,333.20 is: 198,492.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,851.76 : 647,754.28 = 132,333.20 : x
  2. Step 2: Convert to fraction form
    431,851.76/647,754.28 = 132,333.20/x
  3. Step 3: Cross multiply
    431,851.76x = 647,754.28 × 132,333.20
  4. Step 4: Simplify right side
    431,851.76x = 85,719,393,116.49
  5. Step 5: Solve for x
    x = 85,719,393,116.49/431,851.76
  6. Step 6: Final answer
    x = 198,492.64

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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.