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Finding the Fourth Proportional to 284,399.92, 426,687.92 and 170,674.72

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Solution

The fourth proportional to 284,399.92, 426,687.92 and 170,674.72 is: 256,064.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,399.92 : 426,687.92 = 170,674.72 : x
  2. Step 2: Convert to fraction form
    284,399.92/426,687.92 = 170,674.72/x
  3. Step 3: Cross multiply
    284,399.92x = 426,687.92 × 170,674.72
  4. Step 4: Simplify right side
    284,399.92x = 72,824,841,273.38
  5. Step 5: Solve for x
    x = 72,824,841,273.38/284,399.92
  6. Step 6: Final answer
    x = 256,064.91

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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.