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Finding the Fourth Proportional to 422,321.68, 582,582.96 and 261,125.20

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Solution

The fourth proportional to 422,321.68, 582,582.96 and 261,125.20 is: 360,216.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,321.68 : 582,582.96 = 261,125.20 : x
  2. Step 2: Convert to fraction form
    422,321.68/582,582.96 = 261,125.20/x
  3. Step 3: Cross multiply
    422,321.68x = 582,582.96 × 261,125.20
  4. Step 4: Simplify right side
    422,321.68x = 152,127,091,946.59
  5. Step 5: Solve for x
    x = 152,127,091,946.59/422,321.68
  6. Step 6: Final answer
    x = 360,216.16

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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.