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Finding the Fourth Proportional to 417,994.30, 577,071.23 and 275,169.52

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Solution

The fourth proportional to 417,994.30, 577,071.23 and 275,169.52 is: 379,891.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,994.30 : 577,071.23 = 275,169.52 : x
  2. Step 2: Convert to fraction form
    417,994.30/577,071.23 = 275,169.52/x
  3. Step 3: Cross multiply
    417,994.30x = 577,071.23 × 275,169.52
  4. Step 4: Simplify right side
    417,994.30x = 158,792,410,546.38
  5. Step 5: Solve for x
    x = 158,792,410,546.38/417,994.30
  6. Step 6: Final answer
    x = 379,891.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.