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Finding the Fourth Proportional to 284,839.40, 427,283.49 and 74,477

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Solution

The fourth proportional to 284,839.40, 427,283.49 and 74,477 is: 111,721.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,839.40 : 427,283.49 = 74,477 : x
  2. Step 2: Convert to fraction form
    284,839.40/427,283.49 = 74,477/x
  3. Step 3: Cross multiply
    284,839.40x = 427,283.49 × 74,477
  4. Step 4: Simplify right side
    284,839.40x = 31,822,792,484.73
  5. Step 5: Solve for x
    x = 31,822,792,484.73/284,839.40
  6. Step 6: Final answer
    x = 111,721.88

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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.