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Finding the Fourth Proportional to 397,562.40, 596,343.60 and 322,912.80

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Solution

The fourth proportional to 397,562.40, 596,343.60 and 322,912.80 is: 484,369.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,562.40 : 596,343.60 = 322,912.80 : x
  2. Step 2: Convert to fraction form
    397,562.40/596,343.60 = 322,912.80/x
  3. Step 3: Cross multiply
    397,562.40x = 596,343.60 × 322,912.80
  4. Step 4: Simplify right side
    397,562.40x = 192,566,981,638.08
  5. Step 5: Solve for x
    x = 192,566,981,638.08/397,562.40
  6. Step 6: Final answer
    x = 484,369.20

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Why These Related Problems?

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