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Finding the Fourth Proportional to 548,332.68, 822,229.27 and 193,295.10

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Solution

The fourth proportional to 548,332.68, 822,229.27 and 193,295.10 is: 289,847.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,332.68 : 822,229.27 = 193,295.10 : x
  2. Step 2: Convert to fraction form
    548,332.68/822,229.27 = 193,295.10/x
  3. Step 3: Cross multiply
    548,332.68x = 822,229.27 × 193,295.10
  4. Step 4: Simplify right side
    548,332.68x = 158,932,888,967.58
  5. Step 5: Solve for x
    x = 158,932,888,967.58/548,332.68
  6. Step 6: Final answer
    x = 289,847.56

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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.