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Finding the Fourth Proportional to 401,194.22, 598,255.47 and 397,596.60

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Solution

The fourth proportional to 401,194.22, 598,255.47 and 397,596.60 is: 592,890.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,194.22 : 598,255.47 = 397,596.60 : x
  2. Step 2: Convert to fraction form
    401,194.22/598,255.47 = 397,596.60/x
  3. Step 3: Cross multiply
    401,194.22x = 598,255.47 × 397,596.60
  4. Step 4: Simplify right side
    401,194.22x = 237,864,340,803.40
  5. Step 5: Solve for x
    x = 237,864,340,803.40/401,194.22
  6. Step 6: Final answer
    x = 592,890.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.