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Finding the Fourth Proportional to 376,757.56, 519,925.89 and 204,675.64

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Solution

The fourth proportional to 376,757.56, 519,925.89 and 204,675.64 is: 282,452.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,757.56 : 519,925.89 = 204,675.64 : x
  2. Step 2: Convert to fraction form
    376,757.56/519,925.89 = 204,675.64/x
  3. Step 3: Cross multiply
    376,757.56x = 519,925.89 × 204,675.64
  4. Step 4: Simplify right side
    376,757.56x = 106,416,164,288.32
  5. Step 5: Solve for x
    x = 106,416,164,288.32/376,757.56
  6. Step 6: Final answer
    x = 282,452.63

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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.