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Finding the Fourth Proportional to 284,844.60, 426,999.60 and 107,470.80

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Solution

The fourth proportional to 284,844.60, 426,999.60 and 107,470.80 is: 161,105.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,844.60 : 426,999.60 = 107,470.80 : x
  2. Step 2: Convert to fraction form
    284,844.60/426,999.60 = 107,470.80/x
  3. Step 3: Cross multiply
    284,844.60x = 426,999.60 × 107,470.80
  4. Step 4: Simplify right side
    284,844.60x = 45,889,988,611.68
  5. Step 5: Solve for x
    x = 45,889,988,611.68/284,844.60
  6. Step 6: Final answer
    x = 161,105.35

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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.