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Finding the Fourth Proportional to 484,205.13, 726,424.40 and 151,781.13

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Solution

The fourth proportional to 484,205.13, 726,424.40 and 151,781.13 is: 227,708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,205.13 : 726,424.40 = 151,781.13 : x
  2. Step 2: Convert to fraction form
    484,205.13/726,424.40 = 151,781.13/x
  3. Step 3: Cross multiply
    484,205.13x = 726,424.40 × 151,781.13
  4. Step 4: Simplify right side
    484,205.13x = 110,257,516,291.57
  5. Step 5: Solve for x
    x = 110,257,516,291.57/484,205.13
  6. Step 6: Final answer
    x = 227,708.28

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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.