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Finding the Fourth Proportional to 296,024.64, 444,064.92 and 82,792.48

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Solution

The fourth proportional to 296,024.64, 444,064.92 and 82,792.48 is: 124,196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,024.64 : 444,064.92 = 82,792.48 : x
  2. Step 2: Convert to fraction form
    296,024.64/444,064.92 = 82,792.48/x
  3. Step 3: Cross multiply
    296,024.64x = 444,064.92 × 82,792.48
  4. Step 4: Simplify right side
    296,024.64x = 36,765,236,007.80
  5. Step 5: Solve for x
    x = 36,765,236,007.80/296,024.64
  6. Step 6: Final answer
    x = 124,196.54

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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.