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Finding the Fourth Proportional to 284,394.52, 392,456.37 and 157,067.38

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Solution

The fourth proportional to 284,394.52, 392,456.37 and 157,067.38 is: 216,748.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,394.52 : 392,456.37 = 157,067.38 : x
  2. Step 2: Convert to fraction form
    284,394.52/392,456.37 = 157,067.38/x
  3. Step 3: Cross multiply
    284,394.52x = 392,456.37 × 157,067.38
  4. Step 4: Simplify right side
    284,394.52x = 61,642,093,800.21
  5. Step 5: Solve for x
    x = 61,642,093,800.21/284,394.52
  6. Step 6: Final answer
    x = 216,748.53

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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.