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Finding the Fourth Proportional to 284,584.54, 426,861.42 and 144,339.52

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Solution

The fourth proportional to 284,584.54, 426,861.42 and 144,339.52 is: 216,501.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,584.54 : 426,861.42 = 144,339.52 : x
  2. Step 2: Convert to fraction form
    284,584.54/426,861.42 = 144,339.52/x
  3. Step 3: Cross multiply
    284,584.54x = 426,861.42 × 144,339.52
  4. Step 4: Simplify right side
    284,584.54x = 61,612,972,469.32
  5. Step 5: Solve for x
    x = 61,612,972,469.32/284,584.54
  6. Step 6: Final answer
    x = 216,501.47

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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.