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Finding the Fourth Proportional to 814,204, 1,123,602 and 496,252

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Solution

The fourth proportional to 814,204, 1,123,602 and 496,252 is: 684,828.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,204 : 1,123,602 = 496,252 : x
  2. Step 2: Convert to fraction form
    814,204/1,123,602 = 496,252/x
  3. Step 3: Cross multiply
    814,204x = 1,123,602 × 496,252
  4. Step 4: Simplify right side
    814,204x = 557,589,739,704
  5. Step 5: Solve for x
    x = 557,589,739,704/814,204
  6. Step 6: Final answer
    x = 684,828.05

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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.