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Finding the Fourth Proportional to 511,498.31, 767,247.36 and 174,538.95

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Solution

The fourth proportional to 511,498.31, 767,247.36 and 174,538.95 is: 261,808.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,498.31 : 767,247.36 = 174,538.95 : x
  2. Step 2: Convert to fraction form
    511,498.31/767,247.36 = 174,538.95/x
  3. Step 3: Cross multiply
    511,498.31x = 767,247.36 × 174,538.95
  4. Step 4: Simplify right side
    511,498.31x = 133,914,545,072.97
  5. Step 5: Solve for x
    x = 133,914,545,072.97/511,498.31
  6. Step 6: Final answer
    x = 261,808.38

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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.