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Finding the Fourth Proportional to 375,801.12, 518,610.60 and 206,034.84

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Solution

The fourth proportional to 375,801.12, 518,610.60 and 206,034.84 is: 284,330.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,801.12 : 518,610.60 = 206,034.84 : x
  2. Step 2: Convert to fraction form
    375,801.12/518,610.60 = 206,034.84/x
  3. Step 3: Cross multiply
    375,801.12x = 518,610.60 × 206,034.84
  4. Step 4: Simplify right side
    375,801.12x = 106,851,851,993.30
  5. Step 5: Solve for x
    x = 106,851,851,993.30/375,801.12
  6. Step 6: Final answer
    x = 284,330.85

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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.