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Finding the Fourth Proportional to 511,151.26, 705,393.52 and 281,716.96

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Solution

The fourth proportional to 511,151.26, 705,393.52 and 281,716.96 is: 388,772.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,151.26 : 705,393.52 = 281,716.96 : x
  2. Step 2: Convert to fraction form
    511,151.26/705,393.52 = 281,716.96/x
  3. Step 3: Cross multiply
    511,151.26x = 705,393.52 × 281,716.96
  4. Step 4: Simplify right side
    511,151.26x = 198,721,318,058.10
  5. Step 5: Solve for x
    x = 198,721,318,058.10/511,151.26
  6. Step 6: Final answer
    x = 388,772.04

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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.