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Finding the Fourth Proportional to 299,601.64, 413,408.10 and 172,230.76

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Solution

The fourth proportional to 299,601.64, 413,408.10 and 172,230.76 is: 237,654.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,601.64 : 413,408.10 = 172,230.76 : x
  2. Step 2: Convert to fraction form
    299,601.64/413,408.10 = 172,230.76/x
  3. Step 3: Cross multiply
    299,601.64x = 413,408.10 × 172,230.76
  4. Step 4: Simplify right side
    299,601.64x = 71,201,591,253.16
  5. Step 5: Solve for x
    x = 71,201,591,253.16/299,601.64
  6. Step 6: Final answer
    x = 237,654.21

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1.5x scale

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.