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Finding the Fourth Proportional to 315,631.56, 435,613.50 and 200,921.88

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Solution

The fourth proportional to 315,631.56, 435,613.50 and 200,921.88 is: 277,298.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,631.56 : 435,613.50 = 200,921.88 : x
  2. Step 2: Convert to fraction form
    315,631.56/435,613.50 = 200,921.88/x
  3. Step 3: Cross multiply
    315,631.56x = 435,613.50 × 200,921.88
  4. Step 4: Simplify right side
    315,631.56x = 87,524,283,373.38
  5. Step 5: Solve for x
    x = 87,524,283,373.38/315,631.56
  6. Step 6: Final answer
    x = 277,298.90

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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.