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Finding the Fourth Proportional to 422,332.68, 582,598.14 and 261,136.20

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Solution

The fourth proportional to 422,332.68, 582,598.14 and 261,136.20 is: 360,231.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,332.68 : 582,598.14 = 261,136.20 : x
  2. Step 2: Convert to fraction form
    422,332.68/582,598.14 = 261,136.20/x
  3. Step 3: Cross multiply
    422,332.68x = 582,598.14 × 261,136.20
  4. Step 4: Simplify right side
    422,332.68x = 152,137,464,406.67
  5. Step 5: Solve for x
    x = 152,137,464,406.67/422,332.68
  6. Step 6: Final answer
    x = 360,231.33

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