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Finding the Fourth Proportional to 548,470.68, 822,558.40 and 193,438.56

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Solution

The fourth proportional to 548,470.68, 822,558.40 and 193,438.56 is: 290,105.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,470.68 : 822,558.40 = 193,438.56 : x
  2. Step 2: Convert to fraction form
    548,470.68/822,558.40 = 193,438.56/x
  3. Step 3: Cross multiply
    548,470.68x = 822,558.40 × 193,438.56
  4. Step 4: Simplify right side
    548,470.68x = 159,114,512,411.90
  5. Step 5: Solve for x
    x = 159,114,512,411.90/548,470.68
  6. Step 6: Final answer
    x = 290,105.78

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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.