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Finding the Fourth Proportional to 551,105.20, 825,870.60 and 313,946.80

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Solution

The fourth proportional to 551,105.20, 825,870.60 and 313,946.80 is: 470,471.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,105.20 : 825,870.60 = 313,946.80 : x
  2. Step 2: Convert to fraction form
    551,105.20/825,870.60 = 313,946.80/x
  3. Step 3: Cross multiply
    551,105.20x = 825,870.60 × 313,946.80
  4. Step 4: Simplify right side
    551,105.20x = 259,279,432,084.08
  5. Step 5: Solve for x
    x = 259,279,432,084.08/551,105.20
  6. Step 6: Final answer
    x = 470,471.76

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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.