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Finding the Fourth Proportional to 469,847.20, 704,770.80 and 270,781.60

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Solution

The fourth proportional to 469,847.20, 704,770.80 and 270,781.60 is: 406,172.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,847.20 : 704,770.80 = 270,781.60 : x
  2. Step 2: Convert to fraction form
    469,847.20/704,770.80 = 270,781.60/x
  3. Step 3: Cross multiply
    469,847.20x = 704,770.80 × 270,781.60
  4. Step 4: Simplify right side
    469,847.20x = 190,838,964,857.28
  5. Step 5: Solve for x
    x = 190,838,964,857.28/469,847.20
  6. Step 6: Final answer
    x = 406,172.40

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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.