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Finding the Fourth Proportional to 338,134.40, 507,201.60 and 85,414.40

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Solution

The fourth proportional to 338,134.40, 507,201.60 and 85,414.40 is: 128,121.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,134.40 : 507,201.60 = 85,414.40 : x
  2. Step 2: Convert to fraction form
    338,134.40/507,201.60 = 85,414.40/x
  3. Step 3: Cross multiply
    338,134.40x = 507,201.60 × 85,414.40
  4. Step 4: Simplify right side
    338,134.40x = 43,322,320,343.04
  5. Step 5: Solve for x
    x = 43,322,320,343.04/338,134.40
  6. Step 6: Final answer
    x = 128,121.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.