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Finding the Fourth Proportional to 230,657.60, 346,504.80 and 221,844.80

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Solution

The fourth proportional to 230,657.60, 346,504.80 and 221,844.80 is: 333,265.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,657.60 : 346,504.80 = 221,844.80 : x
  2. Step 2: Convert to fraction form
    230,657.60/346,504.80 = 221,844.80/x
  3. Step 3: Cross multiply
    230,657.60x = 346,504.80 × 221,844.80
  4. Step 4: Simplify right side
    230,657.60x = 76,870,288,055.04
  5. Step 5: Solve for x
    x = 76,870,288,055.04/230,657.60
  6. Step 6: Final answer
    x = 333,265.79

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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.