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Finding the Fourth Proportional to 517,427, 776,269.67 and 180,472.49

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Solution

The fourth proportional to 517,427, 776,269.67 and 180,472.49 is: 270,753.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,427 : 776,269.67 = 180,472.49 : x
  2. Step 2: Convert to fraction form
    517,427/776,269.67 = 180,472.49/x
  3. Step 3: Cross multiply
    517,427x = 776,269.67 × 180,472.49
  4. Step 4: Simplify right side
    517,427x = 140,095,320,256.38
  5. Step 5: Solve for x
    x = 140,095,320,256.38/517,427
  6. Step 6: Final answer
    x = 270,753.79

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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.