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Finding the Fourth Proportional to 284,182.92, 426,264.30 and 70,952.04

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Solution

The fourth proportional to 284,182.92, 426,264.30 and 70,952.04 is: 106,425.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,182.92 : 426,264.30 = 70,952.04 : x
  2. Step 2: Convert to fraction form
    284,182.92/426,264.30 = 70,952.04/x
  3. Step 3: Cross multiply
    284,182.92x = 426,264.30 × 70,952.04
  4. Step 4: Simplify right side
    284,182.92x = 30,244,321,664.17
  5. Step 5: Solve for x
    x = 30,244,321,664.17/284,182.92
  6. Step 6: Final answer
    x = 106,425.54

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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.