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Finding the Fourth Proportional to 413,661.54, 620,418.45 and 110,057.45

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Solution

The fourth proportional to 413,661.54, 620,418.45 and 110,057.45 is: 165,066.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,661.54 : 620,418.45 = 110,057.45 : x
  2. Step 2: Convert to fraction form
    413,661.54/620,418.45 = 110,057.45/x
  3. Step 3: Cross multiply
    413,661.54x = 620,418.45 × 110,057.45
  4. Step 4: Simplify right side
    413,661.54x = 68,281,669,850.58
  5. Step 5: Solve for x
    x = 68,281,669,850.58/413,661.54
  6. Step 6: Final answer
    x = 165,066.52

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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.