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Finding the Fourth Proportional to 354,682.20, 532,023.30 and 144,211.80

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Solution

The fourth proportional to 354,682.20, 532,023.30 and 144,211.80 is: 216,317.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,682.20 : 532,023.30 = 144,211.80 : x
  2. Step 2: Convert to fraction form
    354,682.20/532,023.30 = 144,211.80/x
  3. Step 3: Cross multiply
    354,682.20x = 532,023.30 × 144,211.80
  4. Step 4: Simplify right side
    354,682.20x = 76,724,037,734.94
  5. Step 5: Solve for x
    x = 76,724,037,734.94/354,682.20
  6. Step 6: Final answer
    x = 216,317.70

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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.