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Finding the Fourth Proportional to 414,416.52, 571,854.69 and 233,191.17

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Solution

The fourth proportional to 414,416.52, 571,854.69 and 233,191.17 is: 321,781.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,416.52 : 571,854.69 = 233,191.17 : x
  2. Step 2: Convert to fraction form
    414,416.52/571,854.69 = 233,191.17/x
  3. Step 3: Cross multiply
    414,416.52x = 571,854.69 × 233,191.17
  4. Step 4: Simplify right side
    414,416.52x = 133,351,464,231.09
  5. Step 5: Solve for x
    x = 133,351,464,231.09/414,416.52
  6. Step 6: Final answer
    x = 321,781.25

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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.