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Finding the Fourth Proportional to 548,104.44, 822,484.68 and 193,416.72

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Solution

The fourth proportional to 548,104.44, 822,484.68 and 193,416.72 is: 290,240.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,104.44 : 822,484.68 = 193,416.72 : x
  2. Step 2: Convert to fraction form
    548,104.44/822,484.68 = 193,416.72/x
  3. Step 3: Cross multiply
    548,104.44x = 822,484.68 × 193,416.72
  4. Step 4: Simplify right side
    548,104.44x = 159,082,289,055.85
  5. Step 5: Solve for x
    x = 159,082,289,055.85/548,104.44
  6. Step 6: Final answer
    x = 290,240.83

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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.