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Finding the Fourth Proportional to 309,380.97, 463,803.24 and 119,710.83

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Solution

The fourth proportional to 309,380.97, 463,803.24 and 119,710.83 is: 179,462.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,380.97 : 463,803.24 = 119,710.83 : x
  2. Step 2: Convert to fraction form
    309,380.97/463,803.24 = 119,710.83/x
  3. Step 3: Cross multiply
    309,380.97x = 463,803.24 × 119,710.83
  4. Step 4: Simplify right side
    309,380.97x = 55,522,270,817.09
  5. Step 5: Solve for x
    x = 55,522,270,817.09/309,380.97
  6. Step 6: Final answer
    x = 179,462.46

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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.