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Finding the Fourth Proportional to 470,901.52, 706,439.16 and 155,380.56

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Solution

The fourth proportional to 470,901.52, 706,439.16 and 155,380.56 is: 233,099.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,901.52 : 706,439.16 = 155,380.56 : x
  2. Step 2: Convert to fraction form
    470,901.52/706,439.16 = 155,380.56/x
  3. Step 3: Cross multiply
    470,901.52x = 706,439.16 × 155,380.56
  4. Step 4: Simplify right side
    470,901.52x = 109,766,912,286.73
  5. Step 5: Solve for x
    x = 109,766,912,286.73/470,901.52
  6. Step 6: Final answer
    x = 233,099.51

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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.