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Finding the Fourth Proportional to 425,213.56, 586,796.30 and 234,226.49

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Solution

The fourth proportional to 425,213.56, 586,796.30 and 234,226.49 is: 323,233.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,213.56 : 586,796.30 = 234,226.49 : x
  2. Step 2: Convert to fraction form
    425,213.56/586,796.30 = 234,226.49/x
  3. Step 3: Cross multiply
    425,213.56x = 586,796.30 × 234,226.49
  4. Step 4: Simplify right side
    425,213.56x = 137,443,237,693.99
  5. Step 5: Solve for x
    x = 137,443,237,693.99/425,213.56
  6. Step 6: Final answer
    x = 323,233.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.