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Finding the Fourth Proportional to 385,187.36, 531,391.38 and 232,138.58

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Solution

The fourth proportional to 385,187.36, 531,391.38 and 232,138.58 is: 320,250.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,187.36 : 531,391.38 = 232,138.58 : x
  2. Step 2: Convert to fraction form
    385,187.36/531,391.38 = 232,138.58/x
  3. Step 3: Cross multiply
    385,187.36x = 531,391.38 × 232,138.58
  4. Step 4: Simplify right side
    385,187.36x = 123,356,440,377.44
  5. Step 5: Solve for x
    x = 123,356,440,377.44/385,187.36
  6. Step 6: Final answer
    x = 320,250.49

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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.