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Finding the Fourth Proportional to 442,817.20, 664,225.80 and 265,232.80

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Solution

The fourth proportional to 442,817.20, 664,225.80 and 265,232.80 is: 397,849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,817.20 : 664,225.80 = 265,232.80 : x
  2. Step 2: Convert to fraction form
    442,817.20/664,225.80 = 265,232.80/x
  3. Step 3: Cross multiply
    442,817.20x = 664,225.80 × 265,232.80
  4. Step 4: Simplify right side
    442,817.20x = 176,174,468,766.24
  5. Step 5: Solve for x
    x = 176,174,468,766.24/442,817.20
  6. Step 6: Final answer
    x = 397,849.20

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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.