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Finding the Fourth Proportional to 409,550.62, 614,284.42 and 109,992.28

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Solution

The fourth proportional to 409,550.62, 614,284.42 and 109,992.28 is: 164,977.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,550.62 : 614,284.42 = 109,992.28 : x
  2. Step 2: Convert to fraction form
    409,550.62/614,284.42 = 109,992.28/x
  3. Step 3: Cross multiply
    409,550.62x = 614,284.42 × 109,992.28
  4. Step 4: Simplify right side
    409,550.62x = 67,566,543,924.28
  5. Step 5: Solve for x
    x = 67,566,543,924.28/409,550.62
  6. Step 6: Final answer
    x = 164,977.27

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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.