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Finding the Fourth Proportional to 309,704.48, 464,726.04 and 120,172.32

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Solution

The fourth proportional to 309,704.48, 464,726.04 and 120,172.32 is: 180,324.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,704.48 : 464,726.04 = 120,172.32 : x
  2. Step 2: Convert to fraction form
    309,704.48/464,726.04 = 120,172.32/x
  3. Step 3: Cross multiply
    309,704.48x = 464,726.04 × 120,172.32
  4. Step 4: Simplify right side
    309,704.48x = 55,847,206,391.21
  5. Step 5: Solve for x
    x = 55,847,206,391.21/309,704.48
  6. Step 6: Final answer
    x = 180,324.18

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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.