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Finding the Fourth Proportional to 376,471.80, 519,534.95 and 204,391.35

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Solution

The fourth proportional to 376,471.80, 519,534.95 and 204,391.35 is: 282,062.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,471.80 : 519,534.95 = 204,391.35 : x
  2. Step 2: Convert to fraction form
    376,471.80/519,534.95 = 204,391.35/x
  3. Step 3: Cross multiply
    376,471.80x = 519,534.95 × 204,391.35
  4. Step 4: Simplify right side
    376,471.80x = 106,188,448,780.73
  5. Step 5: Solve for x
    x = 106,188,448,780.73/376,471.80
  6. Step 6: Final answer
    x = 282,062.16

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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.