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Finding the Fourth Proportional to 414,881.88, 572,489.65 and 233,589.13

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Solution

The fourth proportional to 414,881.88, 572,489.65 and 233,589.13 is: 322,326.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,881.88 : 572,489.65 = 233,589.13 : x
  2. Step 2: Convert to fraction form
    414,881.88/572,489.65 = 233,589.13/x
  3. Step 3: Cross multiply
    414,881.88x = 572,489.65 × 233,589.13
  4. Step 4: Simplify right side
    414,881.88x = 133,727,359,277.51
  5. Step 5: Solve for x
    x = 133,727,359,277.51/414,881.88
  6. Step 6: Final answer
    x = 322,326.34

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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.