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Finding the Fourth Proportional to 511,498.68, 767,247.92 and 174,539.33

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Solution

The fourth proportional to 511,498.68, 767,247.92 and 174,539.33 is: 261,808.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,498.68 : 767,247.92 = 174,539.33 : x
  2. Step 2: Convert to fraction form
    511,498.68/767,247.92 = 174,539.33/x
  3. Step 3: Cross multiply
    511,498.68x = 767,247.92 × 174,539.33
  4. Step 4: Simplify right side
    511,498.68x = 133,914,933,191.76
  5. Step 5: Solve for x
    x = 133,914,933,191.76/511,498.68
  6. Step 6: Final answer
    x = 261,808.95

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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.