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Finding the Fourth Proportional to 381,792.17, 572,026.74 and 231,718.01

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Solution

The fourth proportional to 381,792.17, 572,026.74 and 231,718.01 is: 347,175.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,792.17 : 572,026.74 = 231,718.01 : x
  2. Step 2: Convert to fraction form
    381,792.17/572,026.74 = 231,718.01/x
  3. Step 3: Cross multiply
    381,792.17x = 572,026.74 × 231,718.01
  4. Step 4: Simplify right side
    381,792.17x = 132,548,897,859.59
  5. Step 5: Solve for x
    x = 132,548,897,859.59/381,792.17
  6. Step 6: Final answer
    x = 347,175.53

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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.