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Finding the Fourth Proportional to 382,696.97, 574,045.50 and 271,717.16

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Solution

The fourth proportional to 382,696.97, 574,045.50 and 271,717.16 is: 407,575.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,696.97 : 574,045.50 = 271,717.16 : x
  2. Step 2: Convert to fraction form
    382,696.97/574,045.50 = 271,717.16/x
  3. Step 3: Cross multiply
    382,696.97x = 574,045.50 × 271,717.16
  4. Step 4: Simplify right side
    382,696.97x = 155,978,012,970.78
  5. Step 5: Solve for x
    x = 155,978,012,970.78/382,696.97
  6. Step 6: Final answer
    x = 407,575.77

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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.