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Finding the Fourth Proportional to 217,264.64, 325,897.24 and 59,494.46

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Solution

The fourth proportional to 217,264.64, 325,897.24 and 59,494.46 is: 89,241.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,264.64 : 325,897.24 = 59,494.46 : x
  2. Step 2: Convert to fraction form
    217,264.64/325,897.24 = 59,494.46/x
  3. Step 3: Cross multiply
    217,264.64x = 325,897.24 × 59,494.46
  4. Step 4: Simplify right side
    217,264.64x = 19,389,080,309.29
  5. Step 5: Solve for x
    x = 19,389,080,309.29/217,264.64
  6. Step 6: Final answer
    x = 89,241.77

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Why These Related Problems?

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