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Finding the Fourth Proportional to 217,643.26, 326,449.40 and 57,715.64

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Solution

The fourth proportional to 217,643.26, 326,449.40 and 57,715.64 is: 86,569.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,643.26 : 326,449.40 = 57,715.64 : x
  2. Step 2: Convert to fraction form
    217,643.26/326,449.40 = 57,715.64/x
  3. Step 3: Cross multiply
    217,643.26x = 326,449.40 × 57,715.64
  4. Step 4: Simplify right side
    217,643.26x = 18,841,236,048.62
  5. Step 5: Solve for x
    x = 18,841,236,048.62/217,643.26
  6. Step 6: Final answer
    x = 86,569.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.