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Finding the Fourth Proportional to 331,337, 457,249.92 and 180,434

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Solution

The fourth proportional to 331,337, 457,249.92 and 180,434 is: 249,001.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,337 : 457,249.92 = 180,434 : x
  2. Step 2: Convert to fraction form
    331,337/457,249.92 = 180,434/x
  3. Step 3: Cross multiply
    331,337x = 457,249.92 × 180,434
  4. Step 4: Simplify right side
    331,337x = 82,503,432,065.28
  5. Step 5: Solve for x
    x = 82,503,432,065.28/331,337
  6. Step 6: Final answer
    x = 249,001.57

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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.