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Finding the Fourth Proportional to 431,851.57, 647,754.00 and 132,333.01

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Solution

The fourth proportional to 431,851.57, 647,754.00 and 132,333.01 is: 198,492.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,851.57 : 647,754.00 = 132,333.01 : x
  2. Step 2: Convert to fraction form
    431,851.57/647,754.00 = 132,333.01/x
  3. Step 3: Cross multiply
    431,851.57x = 647,754.00 × 132,333.01
  4. Step 4: Simplify right side
    431,851.57x = 85,719,235,897.88
  5. Step 5: Solve for x
    x = 85,719,235,897.88/431,851.57
  6. Step 6: Final answer
    x = 198,492.36

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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.