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Finding the Fourth Proportional to 413,717.11, 620,563.32 and 114,215.97

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Solution

The fourth proportional to 413,717.11, 620,563.32 and 114,215.97 is: 171,320.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,717.11 : 620,563.32 = 114,215.97 : x
  2. Step 2: Convert to fraction form
    413,717.11/620,563.32 = 114,215.97/x
  3. Step 3: Cross multiply
    413,717.11x = 620,563.32 × 114,215.97
  4. Step 4: Simplify right side
    413,717.11x = 70,878,239,417.73
  5. Step 5: Solve for x
    x = 70,878,239,417.73/413,717.11
  6. Step 6: Final answer
    x = 171,320.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.