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Finding the Fourth Proportional to 284,497.44, 426,787.44 and 116,028.04

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Solution

The fourth proportional to 284,497.44, 426,787.44 and 116,028.04 is: 174,058.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,497.44 : 426,787.44 = 116,028.04 : x
  2. Step 2: Convert to fraction form
    284,497.44/426,787.44 = 116,028.04/x
  3. Step 3: Cross multiply
    284,497.44x = 426,787.44 × 116,028.04
  4. Step 4: Simplify right side
    284,497.44x = 49,519,310,159.82
  5. Step 5: Solve for x
    x = 49,519,310,159.82/284,497.44
  6. Step 6: Final answer
    x = 174,058.90

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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.