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Finding the Fourth Proportional to 299,286.91, 413,024.73 and 163,329.64

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Solution

The fourth proportional to 299,286.91, 413,024.73 and 163,329.64 is: 225,399.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,286.91 : 413,024.73 = 163,329.64 : x
  2. Step 2: Convert to fraction form
    299,286.91/413,024.73 = 163,329.64/x
  3. Step 3: Cross multiply
    299,286.91x = 413,024.73 × 163,329.64
  4. Step 4: Simplify right side
    299,286.91x = 67,459,180,462.00
  5. Step 5: Solve for x
    x = 67,459,180,462.00/299,286.91
  6. Step 6: Final answer
    x = 225,399.70

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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.