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Finding the Fourth Proportional to 414,400.12, 571,818.36 and 233,105.92

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Solution

The fourth proportional to 414,400.12, 571,818.36 and 233,105.92 is: 321,655.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,400.12 : 571,818.36 = 233,105.92 : x
  2. Step 2: Convert to fraction form
    414,400.12/571,818.36 = 233,105.92/x
  3. Step 3: Cross multiply
    414,400.12x = 571,818.36 × 233,105.92
  4. Step 4: Simplify right side
    414,400.12x = 133,294,244,880.69
  5. Step 5: Solve for x
    x = 133,294,244,880.69/414,400.12
  6. Step 6: Final answer
    x = 321,655.90

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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.