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Finding the Fourth Proportional to 376,213.84, 564,353.58 and 123,418.60

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Solution

The fourth proportional to 376,213.84, 564,353.58 and 123,418.60 is: 185,138.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,213.84 : 564,353.58 = 123,418.60 : x
  2. Step 2: Convert to fraction form
    376,213.84/564,353.58 = 123,418.60/x
  3. Step 3: Cross multiply
    376,213.84x = 564,353.58 × 123,418.60
  4. Step 4: Simplify right side
    376,213.84x = 69,651,728,748.59
  5. Step 5: Solve for x
    x = 69,651,728,748.59/376,213.84
  6. Step 6: Final answer
    x = 185,138.67

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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.