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Finding the Fourth Proportional to 274,920.62, 412,446.54 and 97,443.14

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Solution

The fourth proportional to 274,920.62, 412,446.54 and 97,443.14 is: 146,187.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,920.62 : 412,446.54 = 97,443.14 : x
  2. Step 2: Convert to fraction form
    274,920.62/412,446.54 = 97,443.14/x
  3. Step 3: Cross multiply
    274,920.62x = 412,446.54 × 97,443.14
  4. Step 4: Simplify right side
    274,920.62x = 40,190,085,939.74
  5. Step 5: Solve for x
    x = 40,190,085,939.74/274,920.62
  6. Step 6: Final answer
    x = 146,187.96

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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.