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Finding the Fourth Proportional to 414,246.38, 571,654.57 and 232,958.25

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Solution

The fourth proportional to 414,246.38, 571,654.57 and 232,958.25 is: 321,479.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,246.38 : 571,654.57 = 232,958.25 : x
  2. Step 2: Convert to fraction form
    414,246.38/571,654.57 = 232,958.25/x
  3. Step 3: Cross multiply
    414,246.38x = 571,654.57 × 232,958.25
  4. Step 4: Simplify right side
    414,246.38x = 133,171,648,231.70
  5. Step 5: Solve for x
    x = 133,171,648,231.70/414,246.38
  6. Step 6: Final answer
    x = 321,479.33

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Double scale
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Similar ratio
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1.5x scale

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.