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Finding the Fourth Proportional to 311,748.60, 467,841.60 and 199,701.30

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Solution

The fourth proportional to 311,748.60, 467,841.60 and 199,701.30 is: 299,692.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,748.60 : 467,841.60 = 199,701.30 : x
  2. Step 2: Convert to fraction form
    311,748.60/467,841.60 = 199,701.30/x
  3. Step 3: Cross multiply
    311,748.60x = 467,841.60 × 199,701.30
  4. Step 4: Simplify right side
    311,748.60x = 93,428,575,714.08
  5. Step 5: Solve for x
    x = 93,428,575,714.08/311,748.60
  6. Step 6: Final answer
    x = 299,692.05

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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.