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Finding the Fourth Proportional to 393,792.23, 591,003.64 and 204,306.91

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Solution

The fourth proportional to 393,792.23, 591,003.64 and 204,306.91 is: 306,623.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,792.23 : 591,003.64 = 204,306.91 : x
  2. Step 2: Convert to fraction form
    393,792.23/591,003.64 = 204,306.91/x
  3. Step 3: Cross multiply
    393,792.23x = 591,003.64 × 204,306.91
  4. Step 4: Simplify right side
    393,792.23x = 120,746,126,265.03
  5. Step 5: Solve for x
    x = 120,746,126,265.03/393,792.23
  6. Step 6: Final answer
    x = 306,623.94

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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.