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Finding the Fourth Proportional to 413,717.24, 620,563.50 and 114,216.09

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Solution

The fourth proportional to 413,717.24, 620,563.50 and 114,216.09 is: 171,320.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,717.24 : 620,563.50 = 114,216.09 : x
  2. Step 2: Convert to fraction form
    413,717.24/620,563.50 = 114,216.09/x
  3. Step 3: Cross multiply
    413,717.24x = 620,563.50 × 114,216.09
  4. Step 4: Simplify right side
    413,717.24x = 70,878,338,403.66
  5. Step 5: Solve for x
    x = 70,878,338,403.66/413,717.24
  6. Step 6: Final answer
    x = 171,320.73

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