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Finding the Fourth Proportional to 378,046.64, 521,702.79 and 205,964.10

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Solution

The fourth proportional to 378,046.64, 521,702.79 and 205,964.10 is: 284,229.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,046.64 : 521,702.79 = 205,964.10 : x
  2. Step 2: Convert to fraction form
    378,046.64/521,702.79 = 205,964.10/x
  3. Step 3: Cross multiply
    378,046.64x = 521,702.79 × 205,964.10
  4. Step 4: Simplify right side
    378,046.64x = 107,452,043,001.33
  5. Step 5: Solve for x
    x = 107,452,043,001.33/378,046.64
  6. Step 6: Final answer
    x = 284,229.60

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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.