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Finding the Fourth Proportional to 376,644.29, 519,772.86 and 204,565.61

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Solution

The fourth proportional to 376,644.29, 519,772.86 and 204,565.61 is: 282,302.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,644.29 : 519,772.86 = 204,565.61 : x
  2. Step 2: Convert to fraction form
    376,644.29/519,772.86 = 204,565.61/x
  3. Step 3: Cross multiply
    376,644.29x = 519,772.86 × 204,565.61
  4. Step 4: Simplify right side
    376,644.29x = 106,327,649,568.48
  5. Step 5: Solve for x
    x = 106,327,649,568.48/376,644.29
  6. Step 6: Final answer
    x = 282,302.57

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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.