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Finding the Fourth Proportional to 543,214.20, 814,821.30 and 532,716.60

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Solution

The fourth proportional to 543,214.20, 814,821.30 and 532,716.60 is: 799,074.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,214.20 : 814,821.30 = 532,716.60 : x
  2. Step 2: Convert to fraction form
    543,214.20/814,821.30 = 532,716.60/x
  3. Step 3: Cross multiply
    543,214.20x = 814,821.30 × 532,716.60
  4. Step 4: Simplify right side
    543,214.20x = 434,068,832,543.58
  5. Step 5: Solve for x
    x = 434,068,832,543.58/543,214.20
  6. Step 6: Final answer
    x = 799,074.90

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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.