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Finding the Fourth Proportional to 427,908.56, 590,523.02 and 234,324.44

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Solution

The fourth proportional to 427,908.56, 590,523.02 and 234,324.44 is: 323,372.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,908.56 : 590,523.02 = 234,324.44 : x
  2. Step 2: Convert to fraction form
    427,908.56/590,523.02 = 234,324.44/x
  3. Step 3: Cross multiply
    427,908.56x = 590,523.02 × 234,324.44
  4. Step 4: Simplify right side
    427,908.56x = 138,373,975,968.61
  5. Step 5: Solve for x
    x = 138,373,975,968.61/427,908.56
  6. Step 6: Final answer
    x = 323,372.77

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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.