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Finding the Fourth Proportional to 376,684.57, 519,823.22 and 204,601.15

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Solution

The fourth proportional to 376,684.57, 519,823.22 and 204,601.15 is: 282,348.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,684.57 : 519,823.22 = 204,601.15 : x
  2. Step 2: Convert to fraction form
    376,684.57/519,823.22 = 204,601.15/x
  3. Step 3: Cross multiply
    376,684.57x = 519,823.22 × 204,601.15
  4. Step 4: Simplify right side
    376,684.57x = 106,356,426,009.59
  5. Step 5: Solve for x
    x = 106,356,426,009.59/376,684.57
  6. Step 6: Final answer
    x = 282,348.78

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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.