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Finding the Fourth Proportional to 400,826, 601,278.84 and 148,172.72

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Solution

The fourth proportional to 400,826, 601,278.84 and 148,172.72 is: 222,273.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,826 : 601,278.84 = 148,172.72 : x
  2. Step 2: Convert to fraction form
    400,826/601,278.84 = 148,172.72/x
  3. Step 3: Cross multiply
    400,826x = 601,278.84 × 148,172.72
  4. Step 4: Simplify right side
    400,826x = 89,093,121,201.24
  5. Step 5: Solve for x
    x = 89,093,121,201.24/400,826
  6. Step 6: Final answer
    x = 222,273.81

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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.