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Finding the Fourth Proportional to 442,651.80, 663,900.90 and 162,024.60

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Solution

The fourth proportional to 442,651.80, 663,900.90 and 162,024.60 is: 243,008.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,651.80 : 663,900.90 = 162,024.60 : x
  2. Step 2: Convert to fraction form
    442,651.80/663,900.90 = 162,024.60/x
  3. Step 3: Cross multiply
    442,651.80x = 663,900.90 × 162,024.60
  4. Step 4: Simplify right side
    442,651.80x = 107,568,277,762.14
  5. Step 5: Solve for x
    x = 107,568,277,762.14/442,651.80
  6. Step 6: Final answer
    x = 243,008.79

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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.