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Finding the Fourth Proportional to 414,082.26, 571,430.07 and 232,794.99

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Solution

The fourth proportional to 414,082.26, 571,430.07 and 232,794.99 is: 321,255.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,082.26 : 571,430.07 = 232,794.99 : x
  2. Step 2: Convert to fraction form
    414,082.26/571,430.07 = 232,794.99/x
  3. Step 3: Cross multiply
    414,082.26x = 571,430.07 × 232,794.99
  4. Step 4: Simplify right side
    414,082.26x = 133,026,057,431.35
  5. Step 5: Solve for x
    x = 133,026,057,431.35/414,082.26
  6. Step 6: Final answer
    x = 321,255.15

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