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Finding the Fourth Proportional to 284,520.57, 426,805.46 and 74,158.50

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Solution

The fourth proportional to 284,520.57, 426,805.46 and 74,158.50 is: 111,244.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,520.57 : 426,805.46 = 74,158.50 : x
  2. Step 2: Convert to fraction form
    284,520.57/426,805.46 = 74,158.50/x
  3. Step 3: Cross multiply
    284,520.57x = 426,805.46 × 74,158.50
  4. Step 4: Simplify right side
    284,520.57x = 31,651,252,334.62
  5. Step 5: Solve for x
    x = 31,651,252,334.62/284,520.57
  6. Step 6: Final answer
    x = 111,244.16

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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.