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Finding the Fourth Proportional to 417,412.95, 626,418.37 and 177,694.92

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Solution

The fourth proportional to 417,412.95, 626,418.37 and 177,694.92 is: 266,669.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,412.95 : 626,418.37 = 177,694.92 : x
  2. Step 2: Convert to fraction form
    417,412.95/626,418.37 = 177,694.92/x
  3. Step 3: Cross multiply
    417,412.95x = 626,418.37 × 177,694.92
  4. Step 4: Simplify right side
    417,412.95x = 111,311,361,255.21
  5. Step 5: Solve for x
    x = 111,311,361,255.21/417,412.95
  6. Step 6: Final answer
    x = 266,669.64

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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.