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Finding the Fourth Proportional to 414,061.36, 571,404.75 and 232,773.64

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Solution

The fourth proportional to 414,061.36, 571,404.75 and 232,773.64 is: 321,227.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,061.36 : 571,404.75 = 232,773.64 : x
  2. Step 2: Convert to fraction form
    414,061.36/571,404.75 = 232,773.64/x
  3. Step 3: Cross multiply
    414,061.36x = 571,404.75 × 232,773.64
  4. Step 4: Simplify right side
    414,061.36x = 133,007,961,269.38
  5. Step 5: Solve for x
    x = 133,007,961,269.38/414,061.36
  6. Step 6: Final answer
    x = 321,227.66

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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.