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Finding the Fourth Proportional to 299,588.74, 413,435.22 and 170,520.88

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Solution

The fourth proportional to 299,588.74, 413,435.22 and 170,520.88 is: 235,320.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,588.74 : 413,435.22 = 170,520.88 : x
  2. Step 2: Convert to fraction form
    299,588.74/413,435.22 = 170,520.88/x
  3. Step 3: Cross multiply
    299,588.74x = 413,435.22 × 170,520.88
  4. Step 4: Simplify right side
    299,588.74x = 70,499,337,537.39
  5. Step 5: Solve for x
    x = 70,499,337,537.39/299,588.74
  6. Step 6: Final answer
    x = 235,320.38

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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.