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Finding the Fourth Proportional to 414,082.38, 571,430.24 and 232,795.11

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Solution

The fourth proportional to 414,082.38, 571,430.24 and 232,795.11 is: 321,255.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,082.38 : 571,430.24 = 232,795.11 : x
  2. Step 2: Convert to fraction form
    414,082.38/571,430.24 = 232,795.11/x
  3. Step 3: Cross multiply
    414,082.38x = 571,430.24 × 232,795.11
  4. Step 4: Simplify right side
    414,082.38x = 133,026,167,430.00
  5. Step 5: Solve for x
    x = 133,026,167,430.00/414,082.38
  6. Step 6: Final answer
    x = 321,255.32

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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.