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Finding the Fourth Proportional to 231,081.60, 345,931.20 and 217,411.20

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Solution

The fourth proportional to 231,081.60, 345,931.20 and 217,411.20 is: 325,466.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,081.60 : 345,931.20 = 217,411.20 : x
  2. Step 2: Convert to fraction form
    231,081.60/345,931.20 = 217,411.20/x
  3. Step 3: Cross multiply
    231,081.60x = 345,931.20 × 217,411.20
  4. Step 4: Simplify right side
    231,081.60x = 75,209,317,309.44
  5. Step 5: Solve for x
    x = 75,209,317,309.44/231,081.60
  6. Step 6: Final answer
    x = 325,466.49

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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.