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Finding the Fourth Proportional to 360,920.66, 498,057.81 and 199,776.02

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Solution

The fourth proportional to 360,920.66, 498,057.81 and 199,776.02 is: 275,683.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,920.66 : 498,057.81 = 199,776.02 : x
  2. Step 2: Convert to fraction form
    360,920.66/498,057.81 = 199,776.02/x
  3. Step 3: Cross multiply
    360,920.66x = 498,057.81 × 199,776.02
  4. Step 4: Simplify right side
    360,920.66x = 99,500,007,011.72
  5. Step 5: Solve for x
    x = 99,500,007,011.72/360,920.66
  6. Step 6: Final answer
    x = 275,683.88

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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.