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Finding the Fourth Proportional to 422,029.24, 582,307.25 and 249,861.71

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Solution

The fourth proportional to 422,029.24, 582,307.25 and 249,861.71 is: 344,754.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,029.24 : 582,307.25 = 249,861.71 : x
  2. Step 2: Convert to fraction form
    422,029.24/582,307.25 = 249,861.71/x
  3. Step 3: Cross multiply
    422,029.24x = 582,307.25 × 249,861.71
  4. Step 4: Simplify right side
    422,029.24x = 145,496,285,436.86
  5. Step 5: Solve for x
    x = 145,496,285,436.86/422,029.24
  6. Step 6: Final answer
    x = 344,754.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.