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Finding the Fourth Proportional to 316,782.72, 437,160.17 and 189,458.31

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Solution

The fourth proportional to 316,782.72, 437,160.17 and 189,458.31 is: 261,452.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,782.72 : 437,160.17 = 189,458.31 : x
  2. Step 2: Convert to fraction form
    316,782.72/437,160.17 = 189,458.31/x
  3. Step 3: Cross multiply
    316,782.72x = 437,160.17 × 189,458.31
  4. Step 4: Simplify right side
    316,782.72x = 82,823,627,007.51
  5. Step 5: Solve for x
    x = 82,823,627,007.51/316,782.72
  6. Step 6: Final answer
    x = 261,452.48

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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.