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Finding the Fourth Proportional to 548,419.44, 822,461.55 and 193,350.43

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Solution

The fourth proportional to 548,419.44, 822,461.55 and 193,350.43 is: 289,966.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,419.44 : 822,461.55 = 193,350.43 : x
  2. Step 2: Convert to fraction form
    548,419.44/822,461.55 = 193,350.43/x
  3. Step 3: Cross multiply
    548,419.44x = 822,461.55 × 193,350.43
  4. Step 4: Simplify right side
    548,419.44x = 159,023,294,350.97
  5. Step 5: Solve for x
    x = 159,023,294,350.97/548,419.44
  6. Step 6: Final answer
    x = 289,966.55

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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.