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Finding the Fourth Proportional to 414,469.38, 571,927.02 and 233,177.40

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Solution

The fourth proportional to 414,469.38, 571,927.02 and 233,177.40 is: 321,761.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,469.38 : 571,927.02 = 233,177.40 : x
  2. Step 2: Convert to fraction form
    414,469.38/571,927.02 = 233,177.40/x
  3. Step 3: Cross multiply
    414,469.38x = 571,927.02 × 233,177.40
  4. Step 4: Simplify right side
    414,469.38x = 133,360,455,513.35
  5. Step 5: Solve for x
    x = 133,360,455,513.35/414,469.38
  6. Step 6: Final answer
    x = 321,761.90

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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.