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Finding the Fourth Proportional to 499,006.62, 749,069.46 and 199,695.83

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Solution

The fourth proportional to 499,006.62, 749,069.46 and 199,695.83 is: 299,767.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,006.62 : 749,069.46 = 199,695.83 : x
  2. Step 2: Convert to fraction form
    499,006.62/749,069.46 = 199,695.83/x
  3. Step 3: Cross multiply
    499,006.62x = 749,069.46 × 199,695.83
  4. Step 4: Simplify right side
    499,006.62x = 149,586,043,797.01
  5. Step 5: Solve for x
    x = 149,586,043,797.01/499,006.62
  6. Step 6: Final answer
    x = 299,767.65

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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.