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Finding the Fourth Proportional to 293,105.40, 440,314.20 and 281,951.70

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Solution

The fourth proportional to 293,105.40, 440,314.20 and 281,951.70 is: 423,558.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,105.40 : 440,314.20 = 281,951.70 : x
  2. Step 2: Convert to fraction form
    293,105.40/440,314.20 = 281,951.70/x
  3. Step 3: Cross multiply
    293,105.40x = 440,314.20 × 281,951.70
  4. Step 4: Simplify right side
    293,105.40x = 124,147,337,224.14
  5. Step 5: Solve for x
    x = 124,147,337,224.14/293,105.40
  6. Step 6: Final answer
    x = 423,558.68

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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.