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Finding the Fourth Proportional to 511,833.26, 767,127.26 and 362,116.71

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Solution

The fourth proportional to 511,833.26, 767,127.26 and 362,116.71 is: 542,734.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,833.26 : 767,127.26 = 362,116.71 : x
  2. Step 2: Convert to fraction form
    511,833.26/767,127.26 = 362,116.71/x
  3. Step 3: Cross multiply
    511,833.26x = 767,127.26 × 362,116.71
  4. Step 4: Simplify right side
    511,833.26x = 277,789,597,731.93
  5. Step 5: Solve for x
    x = 277,789,597,731.93/511,833.26
  6. Step 6: Final answer
    x = 542,734.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.