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Finding the Fourth Proportional to 312,531.48, 431,325.38 and 225,388.58

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Solution

The fourth proportional to 312,531.48, 431,325.38 and 225,388.58 is: 311,059.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,531.48 : 431,325.38 = 225,388.58 : x
  2. Step 2: Convert to fraction form
    312,531.48/431,325.38 = 225,388.58/x
  3. Step 3: Cross multiply
    312,531.48x = 431,325.38 × 225,388.58
  4. Step 4: Simplify right side
    312,531.48x = 97,215,814,916.16
  5. Step 5: Solve for x
    x = 97,215,814,916.16/312,531.48
  6. Step 6: Final answer
    x = 311,059.27

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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.