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Finding the Fourth Proportional to 470,891.70, 706,337.55 and 271,826.10

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Solution

The fourth proportional to 470,891.70, 706,337.55 and 271,826.10 is: 407,739.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,891.70 : 706,337.55 = 271,826.10 : x
  2. Step 2: Convert to fraction form
    470,891.70/706,337.55 = 271,826.10/x
  3. Step 3: Cross multiply
    470,891.70x = 706,337.55 × 271,826.10
  4. Step 4: Simplify right side
    470,891.70x = 192,000,981,500.06
  5. Step 5: Solve for x
    x = 192,000,981,500.06/470,891.70
  6. Step 6: Final answer
    x = 407,739.15

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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.