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Finding the Fourth Proportional to 422,374.88, 582,877.32 and 252,609

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Solution

The fourth proportional to 422,374.88, 582,877.32 and 252,609 is: 348,600.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,374.88 : 582,877.32 = 252,609 : x
  2. Step 2: Convert to fraction form
    422,374.88/582,877.32 = 252,609/x
  3. Step 3: Cross multiply
    422,374.88x = 582,877.32 × 252,609
  4. Step 4: Simplify right side
    422,374.88x = 147,240,056,927.88
  5. Step 5: Solve for x
    x = 147,240,056,927.88/422,374.88
  6. Step 6: Final answer
    x = 348,600.41

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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.