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Finding the Fourth Proportional to 299,433.26, 413,224.14 and 163,472.94

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Solution

The fourth proportional to 299,433.26, 413,224.14 and 163,472.94 is: 225,596.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,433.26 : 413,224.14 = 163,472.94 : x
  2. Step 2: Convert to fraction form
    299,433.26/413,224.14 = 163,472.94/x
  3. Step 3: Cross multiply
    299,433.26x = 413,224.14 × 163,472.94
  4. Step 4: Simplify right side
    299,433.26x = 67,550,965,044.77
  5. Step 5: Solve for x
    x = 67,550,965,044.77/299,433.26
  6. Step 6: Final answer
    x = 225,596.07

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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.