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Finding the Fourth Proportional to 309,411.74, 463,758.41 and 117,163.91

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Solution

The fourth proportional to 309,411.74, 463,758.41 and 117,163.91 is: 175,609.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,411.74 : 463,758.41 = 117,163.91 : x
  2. Step 2: Convert to fraction form
    309,411.74/463,758.41 = 117,163.91/x
  3. Step 3: Cross multiply
    309,411.74x = 463,758.41 × 117,163.91
  4. Step 4: Simplify right side
    309,411.74x = 54,335,745,706.37
  5. Step 5: Solve for x
    x = 54,335,745,706.37/309,411.74
  6. Step 6: Final answer
    x = 175,609.84

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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.