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Finding the Fourth Proportional to 482,663.20, 723,865.20 and 202,122.40

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Solution

The fourth proportional to 482,663.20, 723,865.20 and 202,122.40 is: 303,129.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,663.20 : 723,865.20 = 202,122.40 : x
  2. Step 2: Convert to fraction form
    482,663.20/723,865.20 = 202,122.40/x
  3. Step 3: Cross multiply
    482,663.20x = 723,865.20 × 202,122.40
  4. Step 4: Simplify right side
    482,663.20x = 146,309,371,500.48
  5. Step 5: Solve for x
    x = 146,309,371,500.48/482,663.20
  6. Step 6: Final answer
    x = 303,129.33

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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.