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Finding the Fourth Proportional to 825,123, 1,138,669.74 and 467,427

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Solution

The fourth proportional to 825,123, 1,138,669.74 and 467,427 is: 645,049.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,123 : 1,138,669.74 = 467,427 : x
  2. Step 2: Convert to fraction form
    825,123/1,138,669.74 = 467,427/x
  3. Step 3: Cross multiply
    825,123x = 1,138,669.74 × 467,427
  4. Step 4: Simplify right side
    825,123x = 532,244,980,558.98
  5. Step 5: Solve for x
    x = 532,244,980,558.98/825,123
  6. Step 6: Final answer
    x = 645,049.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.