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Finding the Fourth Proportional to 431,762.40, 647,643.60 and 151,243.20

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Solution

The fourth proportional to 431,762.40, 647,643.60 and 151,243.20 is: 226,864.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,762.40 : 647,643.60 = 151,243.20 : x
  2. Step 2: Convert to fraction form
    431,762.40/647,643.60 = 151,243.20/x
  3. Step 3: Cross multiply
    431,762.40x = 647,643.60 × 151,243.20
  4. Step 4: Simplify right side
    431,762.40x = 97,951,690,523.52
  5. Step 5: Solve for x
    x = 97,951,690,523.52/431,762.40
  6. Step 6: Final answer
    x = 226,864.80

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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.