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Finding the Fourth Proportional to 511,234.40, 705,499.96 and 281,791.88

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Solution

The fourth proportional to 511,234.40, 705,499.96 and 281,791.88 is: 388,870.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,234.40 : 705,499.96 = 281,791.88 : x
  2. Step 2: Convert to fraction form
    511,234.40/705,499.96 = 281,791.88/x
  3. Step 3: Cross multiply
    511,234.40x = 705,499.96 × 281,791.88
  4. Step 4: Simplify right side
    511,234.40x = 198,804,160,068.33
  5. Step 5: Solve for x
    x = 198,804,160,068.33/511,234.40
  6. Step 6: Final answer
    x = 388,870.86

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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.