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Finding the Fourth Proportional to 401,775.24, 599,113.12 and 398,169.12

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Solution

The fourth proportional to 401,775.24, 599,113.12 and 398,169.12 is: 593,735.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,775.24 : 599,113.12 = 398,169.12 : x
  2. Step 2: Convert to fraction form
    401,775.24/599,113.12 = 398,169.12/x
  3. Step 3: Cross multiply
    401,775.24x = 599,113.12 × 398,169.12
  4. Step 4: Simplify right side
    401,775.24x = 238,548,343,770.85
  5. Step 5: Solve for x
    x = 238,548,343,770.85/401,775.24
  6. Step 6: Final answer
    x = 593,735.80

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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.