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Finding the Fourth Proportional to 284,454.61, 426,431.41 and 116,116.43

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Solution

The fourth proportional to 284,454.61, 426,431.41 and 116,116.43 is: 174,072.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,454.61 : 426,431.41 = 116,116.43 : x
  2. Step 2: Convert to fraction form
    284,454.61/426,431.41 = 116,116.43/x
  3. Step 3: Cross multiply
    284,454.61x = 426,431.41 × 116,116.43
  4. Step 4: Simplify right side
    284,454.61x = 49,515,690,546.62
  5. Step 5: Solve for x
    x = 49,515,690,546.62/284,454.61
  6. Step 6: Final answer
    x = 174,072.38

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1.5x scale

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.