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Finding the Fourth Proportional to 349,843.80, 524,636.10 and 113,194.20

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Solution

The fourth proportional to 349,843.80, 524,636.10 and 113,194.20 is: 169,749.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,843.80 : 524,636.10 = 113,194.20 : x
  2. Step 2: Convert to fraction form
    349,843.80/524,636.10 = 113,194.20/x
  3. Step 3: Cross multiply
    349,843.80x = 524,636.10 × 113,194.20
  4. Step 4: Simplify right side
    349,843.80x = 59,385,763,630.62
  5. Step 5: Solve for x
    x = 59,385,763,630.62/349,843.80
  6. Step 6: Final answer
    x = 169,749.37

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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.