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Finding the Fourth Proportional to 741,974, 1,023,924.22 and 419,677.16

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Solution

The fourth proportional to 741,974, 1,023,924.22 and 419,677.16 is: 579,154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,974 : 1,023,924.22 = 419,677.16 : x
  2. Step 2: Convert to fraction form
    741,974/1,023,924.22 = 419,677.16/x
  3. Step 3: Cross multiply
    741,974x = 1,023,924.22 × 419,677.16
  4. Step 4: Simplify right side
    741,974x = 429,717,608,704.82
  5. Step 5: Solve for x
    x = 429,717,608,704.82/741,974
  6. Step 6: Final answer
    x = 579,154.54

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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.