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Finding the Fourth Proportional to 222,709, 334,082.94 and 56,497

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Solution

The fourth proportional to 222,709, 334,082.94 and 56,497 is: 84,750.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,709 : 334,082.94 = 56,497 : x
  2. Step 2: Convert to fraction form
    222,709/334,082.94 = 56,497/x
  3. Step 3: Cross multiply
    222,709x = 334,082.94 × 56,497
  4. Step 4: Simplify right side
    222,709x = 18,874,683,861.18
  5. Step 5: Solve for x
    x = 18,874,683,861.18/222,709
  6. Step 6: Final answer
    x = 84,750.43

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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.