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Finding the Fourth Proportional to 484,134.76, 726,202.14 and 147,174.76

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Solution

The fourth proportional to 484,134.76, 726,202.14 and 147,174.76 is: 220,762.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,134.76 : 726,202.14 = 147,174.76 : x
  2. Step 2: Convert to fraction form
    484,134.76/726,202.14 = 147,174.76/x
  3. Step 3: Cross multiply
    484,134.76x = 726,202.14 × 147,174.76
  4. Step 4: Simplify right side
    484,134.76x = 106,878,625,665.99
  5. Step 5: Solve for x
    x = 106,878,625,665.99/484,134.76
  6. Step 6: Final answer
    x = 220,762.14

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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.