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Finding the Fourth Proportional to 584,484.38, 876,565.73 and 200,227.57

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Solution

The fourth proportional to 584,484.38, 876,565.73 and 200,227.57 is: 300,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,484.38 : 876,565.73 = 200,227.57 : x
  2. Step 2: Convert to fraction form
    584,484.38/876,565.73 = 200,227.57/x
  3. Step 3: Cross multiply
    584,484.38x = 876,565.73 × 200,227.57
  4. Step 4: Simplify right side
    584,484.38x = 175,512,624,372.33
  5. Step 5: Solve for x
    x = 175,512,624,372.33/584,484.38
  6. Step 6: Final answer
    x = 300,286.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.