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Finding the Fourth Proportional to 299,846.56, 413,787.28 and 163,880.48

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Solution

The fourth proportional to 299,846.56, 413,787.28 and 163,880.48 is: 226,154.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,846.56 : 413,787.28 = 163,880.48 : x
  2. Step 2: Convert to fraction form
    299,846.56/413,787.28 = 163,880.48/x
  3. Step 3: Cross multiply
    299,846.56x = 413,787.28 × 163,880.48
  4. Step 4: Simplify right side
    299,846.56x = 67,811,658,064.29
  5. Step 5: Solve for x
    x = 67,811,658,064.29/299,846.56
  6. Step 6: Final answer
    x = 226,154.53

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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.