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Finding the Fourth Proportional to 946,096.86, 1,305,618.30 and 516,387

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Solution

The fourth proportional to 946,096.86, 1,305,618.30 and 516,387 is: 712,616.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,096.86 : 1,305,618.30 = 516,387 : x
  2. Step 2: Convert to fraction form
    946,096.86/1,305,618.30 = 516,387/x
  3. Step 3: Cross multiply
    946,096.86x = 1,305,618.30 × 516,387
  4. Step 4: Simplify right side
    946,096.86x = 674,204,317,082.10
  5. Step 5: Solve for x
    x = 674,204,317,082.10/946,096.86
  6. Step 6: Final answer
    x = 712,616.59

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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.