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Finding the Fourth Proportional to 222,997.14, 334,498.44 and 65,228.78

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Solution

The fourth proportional to 222,997.14, 334,498.44 and 65,228.78 is: 97,843.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,997.14 : 334,498.44 = 65,228.78 : x
  2. Step 2: Convert to fraction form
    222,997.14/334,498.44 = 65,228.78/x
  3. Step 3: Cross multiply
    222,997.14x = 334,498.44 × 65,228.78
  4. Step 4: Simplify right side
    222,997.14x = 21,818,923,154.47
  5. Step 5: Solve for x
    x = 21,818,923,154.47/222,997.14
  6. Step 6: Final answer
    x = 97,843.96

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1.5x scale

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.