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Finding the Fourth Proportional to 814,206, 1,123,604.76 and 496,254

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Solution

The fourth proportional to 814,206, 1,123,604.76 and 496,254 is: 684,830.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,206 : 1,123,604.76 = 496,254 : x
  2. Step 2: Convert to fraction form
    814,206/1,123,604.76 = 496,254/x
  3. Step 3: Cross multiply
    814,206x = 1,123,604.76 × 496,254
  4. Step 4: Simplify right side
    814,206x = 557,593,356,569.04
  5. Step 5: Solve for x
    x = 557,593,356,569.04/814,206
  6. Step 6: Final answer
    x = 684,830.81

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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.