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Finding the Fourth Proportional to 511,083.80, 705,310.26 and 284,743.88

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Solution

The fourth proportional to 511,083.80, 705,310.26 and 284,743.88 is: 392,954.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,083.80 : 705,310.26 = 284,743.88 : x
  2. Step 2: Convert to fraction form
    511,083.80/705,310.26 = 284,743.88/x
  3. Step 3: Cross multiply
    511,083.80x = 705,310.26 × 284,743.88
  4. Step 4: Simplify right side
    511,083.80x = 200,832,780,036.21
  5. Step 5: Solve for x
    x = 200,832,780,036.21/511,083.80
  6. Step 6: Final answer
    x = 392,954.70

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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.