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Finding the Fourth Proportional to 376,104.33, 564,249.87 and 186,653.61

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Solution

The fourth proportional to 376,104.33, 564,249.87 and 186,653.61 is: 280,026.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,104.33 : 564,249.87 = 186,653.61 : x
  2. Step 2: Convert to fraction form
    376,104.33/564,249.87 = 186,653.61/x
  3. Step 3: Cross multiply
    376,104.33x = 564,249.87 × 186,653.61
  4. Step 4: Simplify right side
    376,104.33x = 105,319,275,177.53
  5. Step 5: Solve for x
    x = 105,319,275,177.53/376,104.33
  6. Step 6: Final answer
    x = 280,026.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.