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Finding the Fourth Proportional to 741,604.96, 1,023,408.80 and 419,378.40

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Solution

The fourth proportional to 741,604.96, 1,023,408.80 and 419,378.40 is: 578,738.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,604.96 : 1,023,408.80 = 419,378.40 : x
  2. Step 2: Convert to fraction form
    741,604.96/1,023,408.80 = 419,378.40/x
  3. Step 3: Cross multiply
    741,604.96x = 1,023,408.80 × 419,378.40
  4. Step 4: Simplify right side
    741,604.96x = 429,195,545,089.92
  5. Step 5: Solve for x
    x = 429,195,545,089.92/741,604.96
  6. Step 6: Final answer
    x = 578,738.77

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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.