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Finding the Fourth Proportional to 548,097.44, 822,474.18 and 193,409.72

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Solution

The fourth proportional to 548,097.44, 822,474.18 and 193,409.72 is: 290,230.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,097.44 : 822,474.18 = 193,409.72 : x
  2. Step 2: Convert to fraction form
    548,097.44/822,474.18 = 193,409.72/x
  3. Step 3: Cross multiply
    548,097.44x = 822,474.18 × 193,409.72
  4. Step 4: Simplify right side
    548,097.44x = 159,074,500,861.03
  5. Step 5: Solve for x
    x = 159,074,500,861.03/548,097.44
  6. Step 6: Final answer
    x = 290,230.33

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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.