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Finding the Fourth Proportional to 367,371.96, 506,965.86 and 204,019.80

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Solution

The fourth proportional to 367,371.96, 506,965.86 and 204,019.80 is: 281,543.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,371.96 : 506,965.86 = 204,019.80 : x
  2. Step 2: Convert to fraction form
    367,371.96/506,965.86 = 204,019.80/x
  3. Step 3: Cross multiply
    367,371.96x = 506,965.86 × 204,019.80
  4. Step 4: Simplify right side
    367,371.96x = 103,431,073,364.03
  5. Step 5: Solve for x
    x = 103,431,073,364.03/367,371.96
  6. Step 6: Final answer
    x = 281,543.19

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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.