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Finding the Fourth Proportional to 376,675.77, 519,816.36 and 204,595.38

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Solution

The fourth proportional to 376,675.77, 519,816.36 and 204,595.38 is: 282,343.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,675.77 : 519,816.36 = 204,595.38 : x
  2. Step 2: Convert to fraction form
    376,675.77/519,816.36 = 204,595.38/x
  3. Step 3: Cross multiply
    376,675.77x = 519,816.36 × 204,595.38
  4. Step 4: Simplify right side
    376,675.77x = 106,352,025,704.42
  5. Step 5: Solve for x
    x = 106,352,025,704.42/376,675.77
  6. Step 6: Final answer
    x = 282,343.69

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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.