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Finding the Fourth Proportional to 548,222.24, 822,644.40 and 216,031.52

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Solution

The fourth proportional to 548,222.24, 822,644.40 and 216,031.52 is: 324,169.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,222.24 : 822,644.40 = 216,031.52 : x
  2. Step 2: Convert to fraction form
    548,222.24/822,644.40 = 216,031.52/x
  3. Step 3: Cross multiply
    548,222.24x = 822,644.40 × 216,031.52
  4. Step 4: Simplify right side
    548,222.24x = 177,717,120,151.49
  5. Step 5: Solve for x
    x = 177,717,120,151.49/548,222.24
  6. Step 6: Final answer
    x = 324,169.85

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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.