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Finding the Fourth Proportional to 375,892.38, 518,728.05 and 206,122.86

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Solution

The fourth proportional to 375,892.38, 518,728.05 and 206,122.86 is: 284,447.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,892.38 : 518,728.05 = 206,122.86 : x
  2. Step 2: Convert to fraction form
    375,892.38/518,728.05 = 206,122.86/x
  3. Step 3: Cross multiply
    375,892.38x = 518,728.05 × 206,122.86
  4. Step 4: Simplify right side
    375,892.38x = 106,921,709,228.22
  5. Step 5: Solve for x
    x = 106,921,709,228.22/375,892.38
  6. Step 6: Final answer
    x = 284,447.66

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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.