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Finding the Fourth Proportional to 378,732.14, 522,839.75 and 235,538.32

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Solution

The fourth proportional to 378,732.14, 522,839.75 and 235,538.32 is: 325,160.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,732.14 : 522,839.75 = 235,538.32 : x
  2. Step 2: Convert to fraction form
    378,732.14/522,839.75 = 235,538.32/x
  3. Step 3: Cross multiply
    378,732.14x = 522,839.75 × 235,538.32
  4. Step 4: Simplify right side
    378,732.14x = 123,148,796,344.22
  5. Step 5: Solve for x
    x = 123,148,796,344.22/378,732.14
  6. Step 6: Final answer
    x = 325,160.67

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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.