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Finding the Fourth Proportional to 222,914, 334,390.44 and 56,702

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Solution

The fourth proportional to 222,914, 334,390.44 and 56,702 is: 85,057.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,914 : 334,390.44 = 56,702 : x
  2. Step 2: Convert to fraction form
    222,914/334,390.44 = 56,702/x
  3. Step 3: Cross multiply
    222,914x = 334,390.44 × 56,702
  4. Step 4: Simplify right side
    222,914x = 18,960,606,728.88
  5. Step 5: Solve for x
    x = 18,960,606,728.88/222,914
  6. Step 6: Final answer
    x = 85,057.94

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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.