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Finding the Fourth Proportional to 475,138.80, 711,714.60 and 222,634.80

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Solution

The fourth proportional to 475,138.80, 711,714.60 and 222,634.80 is: 333,486.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,138.80 : 711,714.60 = 222,634.80 : x
  2. Step 2: Convert to fraction form
    475,138.80/711,714.60 = 222,634.80/x
  3. Step 3: Cross multiply
    475,138.80x = 711,714.60 × 222,634.80
  4. Step 4: Simplify right side
    475,138.80x = 158,452,437,628.08
  5. Step 5: Solve for x
    x = 158,452,437,628.08/475,138.80
  6. Step 6: Final answer
    x = 333,486.63

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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.