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Finding the Fourth Proportional to 422,364.38, 582,862.84 and 252,598.50

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Solution

The fourth proportional to 422,364.38, 582,862.84 and 252,598.50 is: 348,585.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,364.38 : 582,862.84 = 252,598.50 : x
  2. Step 2: Convert to fraction form
    422,364.38/582,862.84 = 252,598.50/x
  3. Step 3: Cross multiply
    422,364.38x = 582,862.84 × 252,598.50
  4. Step 4: Simplify right side
    422,364.38x = 147,230,278,458.24
  5. Step 5: Solve for x
    x = 147,230,278,458.24/422,364.38
  6. Step 6: Final answer
    x = 348,585.93

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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.