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Finding the Fourth Proportional to 551,096.20, 825,857.10 and 313,937.80

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Solution

The fourth proportional to 551,096.20, 825,857.10 and 313,937.80 is: 470,458.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,096.20 : 825,857.10 = 313,937.80 : x
  2. Step 2: Convert to fraction form
    551,096.20/825,857.10 = 313,937.80/x
  3. Step 3: Cross multiply
    551,096.20x = 825,857.10 × 313,937.80
  4. Step 4: Simplify right side
    551,096.20x = 259,267,761,088.38
  5. Step 5: Solve for x
    x = 259,267,761,088.38/551,096.20
  6. Step 6: Final answer
    x = 470,458.26

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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.