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Finding the Fourth Proportional to 362,565.38, 500,351.65 and 201,433.30

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Solution

The fourth proportional to 362,565.38, 500,351.65 and 201,433.30 is: 277,984.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,565.38 : 500,351.65 = 201,433.30 : x
  2. Step 2: Convert to fraction form
    362,565.38/500,351.65 = 201,433.30/x
  3. Step 3: Cross multiply
    362,565.38x = 500,351.65 × 201,433.30
  4. Step 4: Simplify right side
    362,565.38x = 100,787,482,265.48
  5. Step 5: Solve for x
    x = 100,787,482,265.48/362,565.38
  6. Step 6: Final answer
    x = 277,984.30

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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.