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Finding the Fourth Proportional to 409,474.80, 614,212.20 and 393,145.20

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Solution

The fourth proportional to 409,474.80, 614,212.20 and 393,145.20 is: 589,717.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,474.80 : 614,212.20 = 393,145.20 : x
  2. Step 2: Convert to fraction form
    409,474.80/614,212.20 = 393,145.20/x
  3. Step 3: Cross multiply
    409,474.80x = 614,212.20 × 393,145.20
  4. Step 4: Simplify right side
    409,474.80x = 241,474,578,211.44
  5. Step 5: Solve for x
    x = 241,474,578,211.44/409,474.80
  6. Step 6: Final answer
    x = 589,717.80

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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.