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Finding the Fourth Proportional to 484,334.14, 726,528.54 and 147,385.78

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Solution

The fourth proportional to 484,334.14, 726,528.54 and 147,385.78 is: 221,086.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,334.14 : 726,528.54 = 147,385.78 : x
  2. Step 2: Convert to fraction form
    484,334.14/726,528.54 = 147,385.78/x
  3. Step 3: Cross multiply
    484,334.14x = 726,528.54 × 147,385.78
  4. Step 4: Simplify right side
    484,334.14x = 107,079,975,560.16
  5. Step 5: Solve for x
    x = 107,079,975,560.16/484,334.14
  6. Step 6: Final answer
    x = 221,086.99

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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.