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Finding the Fourth Proportional to 431,353.27, 647,317.86 and 150,870.52

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Solution

The fourth proportional to 431,353.27, 647,317.86 and 150,870.52 is: 226,406.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,353.27 : 647,317.86 = 150,870.52 : x
  2. Step 2: Convert to fraction form
    431,353.27/647,317.86 = 150,870.52/x
  3. Step 3: Cross multiply
    431,353.27x = 647,317.86 × 150,870.52
  4. Step 4: Simplify right side
    431,353.27x = 97,661,182,143.49
  5. Step 5: Solve for x
    x = 97,661,182,143.49/431,353.27
  6. Step 6: Final answer
    x = 226,406.50

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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.