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Finding the Fourth Proportional to 413,754.05, 620,630.16 and 110,148.28

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Solution

The fourth proportional to 413,754.05, 620,630.16 and 110,148.28 is: 165,222.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,754.05 : 620,630.16 = 110,148.28 : x
  2. Step 2: Convert to fraction form
    413,754.05/620,630.16 = 110,148.28/x
  3. Step 3: Cross multiply
    413,754.05x = 620,630.16 × 110,148.28
  4. Step 4: Simplify right side
    413,754.05x = 68,361,346,579.59
  5. Step 5: Solve for x
    x = 68,361,346,579.59/413,754.05
  6. Step 6: Final answer
    x = 165,222.18

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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.