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Finding the Fourth Proportional to 548,143.74, 822,224.72 and 193,162.05

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Solution

The fourth proportional to 548,143.74, 822,224.72 and 193,162.05 is: 289,746.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,143.74 : 822,224.72 = 193,162.05 : x
  2. Step 2: Convert to fraction form
    548,143.74/822,224.72 = 193,162.05/x
  3. Step 3: Cross multiply
    548,143.74x = 822,224.72 × 193,162.05
  4. Step 4: Simplify right side
    548,143.74x = 158,822,612,958.78
  5. Step 5: Solve for x
    x = 158,822,612,958.78/548,143.74
  6. Step 6: Final answer
    x = 289,746.29

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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.