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Finding the Fourth Proportional to 517,432.44, 776,277.82 and 180,477.92

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Solution

The fourth proportional to 517,432.44, 776,277.82 and 180,477.92 is: 270,761.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,432.44 : 776,277.82 = 180,477.92 : x
  2. Step 2: Convert to fraction form
    517,432.44/776,277.82 = 180,477.92/x
  3. Step 3: Cross multiply
    517,432.44x = 776,277.82 × 180,477.92
  4. Step 4: Simplify right side
    517,432.44x = 140,101,006,295.73
  5. Step 5: Solve for x
    x = 140,101,006,295.73/517,432.44
  6. Step 6: Final answer
    x = 270,761.93

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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.