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Finding the Fourth Proportional to 531,114.22, 796,906.83 and 278,334.62

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Solution

The fourth proportional to 531,114.22, 796,906.83 and 278,334.62 is: 417,625.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,114.22 : 796,906.83 = 278,334.62 : x
  2. Step 2: Convert to fraction form
    531,114.22/796,906.83 = 278,334.62/x
  3. Step 3: Cross multiply
    531,114.22x = 796,906.83 × 278,334.62
  4. Step 4: Simplify right side
    531,114.22x = 221,806,756,762.68
  5. Step 5: Solve for x
    x = 221,806,756,762.68/531,114.22
  6. Step 6: Final answer
    x = 417,625.34

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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.