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Finding the Fourth Proportional to 214,446.80, 321,929.40 and 212,891.60

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Solution

The fourth proportional to 214,446.80, 321,929.40 and 212,891.60 is: 319,594.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,446.80 : 321,929.40 = 212,891.60 : x
  2. Step 2: Convert to fraction form
    214,446.80/321,929.40 = 212,891.60/x
  3. Step 3: Cross multiply
    214,446.80x = 321,929.40 × 212,891.60
  4. Step 4: Simplify right side
    214,446.80x = 68,536,065,053.04
  5. Step 5: Solve for x
    x = 68,536,065,053.04/214,446.80
  6. Step 6: Final answer
    x = 319,594.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.