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Finding the Fourth Proportional to 511,077.33, 705,277.19 and 281,655.86

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Solution

The fourth proportional to 511,077.33, 705,277.19 and 281,655.86 is: 388,679.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,077.33 : 705,277.19 = 281,655.86 : x
  2. Step 2: Convert to fraction form
    511,077.33/705,277.19 = 281,655.86/x
  3. Step 3: Cross multiply
    511,077.33x = 705,277.19 × 281,655.86
  4. Step 4: Simplify right side
    511,077.33x = 198,645,450,665.59
  5. Step 5: Solve for x
    x = 198,645,450,665.59/511,077.33
  6. Step 6: Final answer
    x = 388,679.83

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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.