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Finding the Fourth Proportional to 322,812.80, 483,643.20 and 156,233.60

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Solution

The fourth proportional to 322,812.80, 483,643.20 and 156,233.60 is: 234,071.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,812.80 : 483,643.20 = 156,233.60 : x
  2. Step 2: Convert to fraction form
    322,812.80/483,643.20 = 156,233.60/x
  3. Step 3: Cross multiply
    322,812.80x = 483,643.20 × 156,233.60
  4. Step 4: Simplify right side
    322,812.80x = 75,561,318,251.52
  5. Step 5: Solve for x
    x = 75,561,318,251.52/322,812.80
  6. Step 6: Final answer
    x = 234,071.63

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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.