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Finding the Fourth Proportional to 431,444.43, 647,458.26 and 150,964.11

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Solution

The fourth proportional to 431,444.43, 647,458.26 and 150,964.11 is: 226,548.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,444.43 : 647,458.26 = 150,964.11 : x
  2. Step 2: Convert to fraction form
    431,444.43/647,458.26 = 150,964.11/x
  3. Step 3: Cross multiply
    431,444.43x = 647,458.26 × 150,964.11
  4. Step 4: Simplify right side
    431,444.43x = 97,742,959,983.05
  5. Step 5: Solve for x
    x = 97,742,959,983.05/431,444.43
  6. Step 6: Final answer
    x = 226,548.20

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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.