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Finding the Fourth Proportional to 332,998.95, 499,003.59 and 199,723.17

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Solution

The fourth proportional to 332,998.95, 499,003.59 and 199,723.17 is: 299,287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,998.95 : 499,003.59 = 199,723.17 : x
  2. Step 2: Convert to fraction form
    332,998.95/499,003.59 = 199,723.17/x
  3. Step 3: Cross multiply
    332,998.95x = 499,003.59 × 199,723.17
  4. Step 4: Simplify right side
    332,998.95x = 99,662,578,836.18
  5. Step 5: Solve for x
    x = 99,662,578,836.18/332,998.95
  6. Step 6: Final answer
    x = 299,287.97

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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.