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Finding the Fourth Proportional to 354,982.60, 532,214.70 and 144,512.20

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Solution

The fourth proportional to 354,982.60, 532,214.70 and 144,512.20 is: 216,662.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,982.60 : 532,214.70 = 144,512.20 : x
  2. Step 2: Convert to fraction form
    354,982.60/532,214.70 = 144,512.20/x
  3. Step 3: Cross multiply
    354,982.60x = 532,214.70 × 144,512.20
  4. Step 4: Simplify right side
    354,982.60x = 76,911,517,169.34
  5. Step 5: Solve for x
    x = 76,911,517,169.34/354,982.60
  6. Step 6: Final answer
    x = 216,662.78

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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.