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Finding the Fourth Proportional to 517,845.48, 776,773.34 and 162,851.56

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Solution

The fourth proportional to 517,845.48, 776,773.34 and 162,851.56 is: 244,278.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,845.48 : 776,773.34 = 162,851.56 : x
  2. Step 2: Convert to fraction form
    517,845.48/776,773.34 = 162,851.56/x
  3. Step 3: Cross multiply
    517,845.48x = 776,773.34 × 162,851.56
  4. Step 4: Simplify right side
    517,845.48x = 126,498,750,185.41
  5. Step 5: Solve for x
    x = 126,498,750,185.41/517,845.48
  6. Step 6: Final answer
    x = 244,278.95

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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.