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Finding the Fourth Proportional to 431,763.40, 647,645.10 and 151,244.20

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Solution

The fourth proportional to 431,763.40, 647,645.10 and 151,244.20 is: 226,866.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,763.40 : 647,645.10 = 151,244.20 : x
  2. Step 2: Convert to fraction form
    431,763.40/647,645.10 = 151,244.20/x
  3. Step 3: Cross multiply
    431,763.40x = 647,645.10 × 151,244.20
  4. Step 4: Simplify right side
    431,763.40x = 97,952,565,033.42
  5. Step 5: Solve for x
    x = 97,952,565,033.42/431,763.40
  6. Step 6: Final answer
    x = 226,866.30

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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.