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Finding the Fourth Proportional to 375,691.06, 518,462.67 and 205,934.50

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Solution

The fourth proportional to 375,691.06, 518,462.67 and 205,934.50 is: 284,194.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,691.06 : 518,462.67 = 205,934.50 : x
  2. Step 2: Convert to fraction form
    375,691.06/518,462.67 = 205,934.50/x
  3. Step 3: Cross multiply
    375,691.06x = 518,462.67 × 205,934.50
  4. Step 4: Simplify right side
    375,691.06x = 106,769,350,715.12
  5. Step 5: Solve for x
    x = 106,769,350,715.12/375,691.06
  6. Step 6: Final answer
    x = 284,194.55

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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.