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Finding the Fourth Proportional to 331,358.10, 497,037.15 and 305,697.30

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Solution

The fourth proportional to 331,358.10, 497,037.15 and 305,697.30 is: 458,545.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,358.10 : 497,037.15 = 305,697.30 : x
  2. Step 2: Convert to fraction form
    331,358.10/497,037.15 = 305,697.30/x
  3. Step 3: Cross multiply
    331,358.10x = 497,037.15 × 305,697.30
  4. Step 4: Simplify right side
    331,358.10x = 151,942,914,754.70
  5. Step 5: Solve for x
    x = 151,942,914,754.70/331,358.10
  6. Step 6: Final answer
    x = 458,545.95

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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.