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Finding the Fourth Proportional to 404,524.80, 605,912.40 and 262,807.20

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Solution

The fourth proportional to 404,524.80, 605,912.40 and 262,807.20 is: 393,642.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,524.80 : 605,912.40 = 262,807.20 : x
  2. Step 2: Convert to fraction form
    404,524.80/605,912.40 = 262,807.20/x
  3. Step 3: Cross multiply
    404,524.80x = 605,912.40 × 262,807.20
  4. Step 4: Simplify right side
    404,524.80x = 159,238,141,289.28
  5. Step 5: Solve for x
    x = 159,238,141,289.28/404,524.80
  6. Step 6: Final answer
    x = 393,642.47

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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.