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Finding the Fourth Proportional to 361,194.64, 498,452.34 and 217,927

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Solution

The fourth proportional to 361,194.64, 498,452.34 and 217,927 is: 300,741.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,194.64 : 498,452.34 = 217,927 : x
  2. Step 2: Convert to fraction form
    361,194.64/498,452.34 = 217,927/x
  3. Step 3: Cross multiply
    361,194.64x = 498,452.34 × 217,927
  4. Step 4: Simplify right side
    361,194.64x = 108,626,223,099.18
  5. Step 5: Solve for x
    x = 108,626,223,099.18/361,194.64
  6. Step 6: Final answer
    x = 300,741.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.