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Finding the Fourth Proportional to 376,614.96, 519,726.87 and 204,531.72

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Solution

The fourth proportional to 376,614.96, 519,726.87 and 204,531.72 is: 282,252.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,614.96 : 519,726.87 = 204,531.72 : x
  2. Step 2: Convert to fraction form
    376,614.96/519,726.87 = 204,531.72/x
  3. Step 3: Cross multiply
    376,614.96x = 519,726.87 × 204,531.72
  4. Step 4: Simplify right side
    376,614.96x = 106,300,630,651.32
  5. Step 5: Solve for x
    x = 106,300,630,651.32/376,614.96
  6. Step 6: Final answer
    x = 282,252.81

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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.