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Finding the Fourth Proportional to 511,170.38, 705,386.31 and 281,726.94

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Solution

The fourth proportional to 511,170.38, 705,386.31 and 281,726.94 is: 388,767.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,170.38 : 705,386.31 = 281,726.94 : x
  2. Step 2: Convert to fraction form
    511,170.38/705,386.31 = 281,726.94/x
  3. Step 3: Cross multiply
    511,170.38x = 705,386.31 × 281,726.94
  4. Step 4: Simplify right side
    511,170.38x = 198,726,326,634.19
  5. Step 5: Solve for x
    x = 198,726,326,634.19/511,170.38
  6. Step 6: Final answer
    x = 388,767.30

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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.