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Finding the Fourth Proportional to 362,921.92, 500,854.88 and 201,812.96

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Solution

The fourth proportional to 362,921.92, 500,854.88 and 201,812.96 is: 278,514.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,921.92 : 500,854.88 = 201,812.96 : x
  2. Step 2: Convert to fraction form
    362,921.92/500,854.88 = 201,812.96/x
  3. Step 3: Cross multiply
    362,921.92x = 500,854.88 × 201,812.96
  4. Step 4: Simplify right side
    362,921.92x = 101,079,005,863.25
  5. Step 5: Solve for x
    x = 101,079,005,863.25/362,921.92
  6. Step 6: Final answer
    x = 278,514.47

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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.