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Finding the Fourth Proportional to 484,202.13, 726,419.90 and 151,778.13

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Solution

The fourth proportional to 484,202.13, 726,419.90 and 151,778.13 is: 227,703.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,202.13 : 726,419.90 = 151,778.13 : x
  2. Step 2: Convert to fraction form
    484,202.13/726,419.90 = 151,778.13/x
  3. Step 3: Cross multiply
    484,202.13x = 726,419.90 × 151,778.13
  4. Step 4: Simplify right side
    484,202.13x = 110,254,654,016.79
  5. Step 5: Solve for x
    x = 110,254,654,016.79/484,202.13
  6. Step 6: Final answer
    x = 227,703.78

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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.