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Finding the Fourth Proportional to 335,139.92, 462,423.30 and 199,221.92

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Solution

The fourth proportional to 335,139.92, 462,423.30 and 199,221.92 is: 274,884.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,139.92 : 462,423.30 = 199,221.92 : x
  2. Step 2: Convert to fraction form
    335,139.92/462,423.30 = 199,221.92/x
  3. Step 3: Cross multiply
    335,139.92x = 462,423.30 × 199,221.92
  4. Step 4: Simplify right side
    335,139.92x = 92,124,857,678.74
  5. Step 5: Solve for x
    x = 92,124,857,678.74/335,139.92
  6. Step 6: Final answer
    x = 274,884.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.