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Finding the Fourth Proportional to 470,891.20, 706,336.80 and 271,825.60

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Solution

The fourth proportional to 470,891.20, 706,336.80 and 271,825.60 is: 407,738.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,891.20 : 706,336.80 = 271,825.60 : x
  2. Step 2: Convert to fraction form
    470,891.20/706,336.80 = 271,825.60/x
  3. Step 3: Cross multiply
    470,891.20x = 706,336.80 × 271,825.60
  4. Step 4: Simplify right side
    470,891.20x = 192,000,424,462.08
  5. Step 5: Solve for x
    x = 192,000,424,462.08/470,891.20
  6. Step 6: Final answer
    x = 407,738.40

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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.