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Finding the Fourth Proportional to 713,956.32, 985,251.60 and 412,143.84

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Solution

The fourth proportional to 713,956.32, 985,251.60 and 412,143.84 is: 568,753.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,956.32 : 985,251.60 = 412,143.84 : x
  2. Step 2: Convert to fraction form
    713,956.32/985,251.60 = 412,143.84/x
  3. Step 3: Cross multiply
    713,956.32x = 985,251.60 × 412,143.84
  4. Step 4: Simplify right side
    713,956.32x = 406,065,377,790.14
  5. Step 5: Solve for x
    x = 406,065,377,790.14/713,956.32
  6. Step 6: Final answer
    x = 568,753.81

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Why These Related Problems?

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