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Finding the Fourth Proportional to 427,914.56, 590,531.32 and 234,330.44

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Solution

The fourth proportional to 427,914.56, 590,531.32 and 234,330.44 is: 323,381.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,914.56 : 590,531.32 = 234,330.44 : x
  2. Step 2: Convert to fraction form
    427,914.56/590,531.32 = 234,330.44/x
  3. Step 3: Cross multiply
    427,914.56x = 590,531.32 × 234,330.44
  4. Step 4: Simplify right side
    427,914.56x = 138,379,464,049.38
  5. Step 5: Solve for x
    x = 138,379,464,049.38/427,914.56
  6. Step 6: Final answer
    x = 323,381.06

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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.