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Finding the Fourth Proportional to 378,731.14, 522,838.37 and 235,537.32

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Solution

The fourth proportional to 378,731.14, 522,838.37 and 235,537.32 is: 325,159.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,731.14 : 522,838.37 = 235,537.32 : x
  2. Step 2: Convert to fraction form
    378,731.14/522,838.37 = 235,537.32/x
  3. Step 3: Cross multiply
    378,731.14x = 522,838.37 × 235,537.32
  4. Step 4: Simplify right side
    378,731.14x = 123,147,948,462.97
  5. Step 5: Solve for x
    x = 123,147,948,462.97/378,731.14
  6. Step 6: Final answer
    x = 325,159.29

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