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Finding the Fourth Proportional to 442,561.32, 664,137.23 and 229,525.65

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Solution

The fourth proportional to 442,561.32, 664,137.23 and 229,525.65 is: 344,441.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,561.32 : 664,137.23 = 229,525.65 : x
  2. Step 2: Convert to fraction form
    442,561.32/664,137.23 = 229,525.65/x
  3. Step 3: Cross multiply
    442,561.32x = 664,137.23 × 229,525.65
  4. Step 4: Simplify right side
    442,561.32x = 152,436,528,257.32
  5. Step 5: Solve for x
    x = 152,436,528,257.32/442,561.32
  6. Step 6: Final answer
    x = 344,441.60

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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.