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Finding the Fourth Proportional to 470,909.20, 706,363.80 and 271,843.60

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Solution

The fourth proportional to 470,909.20, 706,363.80 and 271,843.60 is: 407,765.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,909.20 : 706,363.80 = 271,843.60 : x
  2. Step 2: Convert to fraction form
    470,909.20/706,363.80 = 271,843.60/x
  3. Step 3: Cross multiply
    470,909.20x = 706,363.80 × 271,843.60
  4. Step 4: Simplify right side
    470,909.20x = 192,020,478,301.68
  5. Step 5: Solve for x
    x = 192,020,478,301.68/470,909.20
  6. Step 6: Final answer
    x = 407,765.40

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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.