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Finding the Fourth Proportional to 284,453.60, 426,696.78 and 106,962.15

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Solution

The fourth proportional to 284,453.60, 426,696.78 and 106,962.15 is: 160,449.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,453.60 : 426,696.78 = 106,962.15 : x
  2. Step 2: Convert to fraction form
    284,453.60/426,696.78 = 106,962.15/x
  3. Step 3: Cross multiply
    284,453.60x = 426,696.78 × 106,962.15
  4. Step 4: Simplify right side
    284,453.60x = 45,640,404,986.88
  5. Step 5: Solve for x
    x = 45,640,404,986.88/284,453.60
  6. Step 6: Final answer
    x = 160,449.38

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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.