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Finding the Fourth Proportional to 422,325.56, 582,809.40 and 231,345.80

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Solution

The fourth proportional to 422,325.56, 582,809.40 and 231,345.80 is: 319,257.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,325.56 : 582,809.40 = 231,345.80 : x
  2. Step 2: Convert to fraction form
    422,325.56/582,809.40 = 231,345.80/x
  3. Step 3: Cross multiply
    422,325.56x = 582,809.40 × 231,345.80
  4. Step 4: Simplify right side
    422,325.56x = 134,830,506,890.52
  5. Step 5: Solve for x
    x = 134,830,506,890.52/422,325.56
  6. Step 6: Final answer
    x = 319,257.27

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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.