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Finding the Fourth Proportional to 511,408.59, 767,191.70 and 174,370.41

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Solution

The fourth proportional to 511,408.59, 767,191.70 and 174,370.41 is: 261,582.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,408.59 : 767,191.70 = 174,370.41 : x
  2. Step 2: Convert to fraction form
    511,408.59/767,191.70 = 174,370.41/x
  3. Step 3: Cross multiply
    511,408.59x = 767,191.70 × 174,370.41
  4. Step 4: Simplify right side
    511,408.59x = 133,775,530,405.75
  5. Step 5: Solve for x
    x = 133,775,530,405.75/511,408.59
  6. Step 6: Final answer
    x = 261,582.49

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