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Finding the Fourth Proportional to 214,477.60, 321,716.40 and 179,744.80

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Solution

The fourth proportional to 214,477.60, 321,716.40 and 179,744.80 is: 269,617.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,477.60 : 321,716.40 = 179,744.80 : x
  2. Step 2: Convert to fraction form
    214,477.60/321,716.40 = 179,744.80/x
  3. Step 3: Cross multiply
    214,477.60x = 321,716.40 × 179,744.80
  4. Step 4: Simplify right side
    214,477.60x = 57,826,849,974.72
  5. Step 5: Solve for x
    x = 57,826,849,974.72/214,477.60
  6. Step 6: Final answer
    x = 269,617.20

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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.