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Finding the Fourth Proportional to 299,462.67, 413,257.31 and 163,495.06

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Solution

The fourth proportional to 299,462.67, 413,257.31 and 163,495.06 is: 225,622.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,462.67 : 413,257.31 = 163,495.06 : x
  2. Step 2: Convert to fraction form
    299,462.67/413,257.31 = 163,495.06/x
  3. Step 3: Cross multiply
    299,462.67x = 413,257.31 × 163,495.06
  4. Step 4: Simplify right side
    299,462.67x = 67,565,527,456.38
  5. Step 5: Solve for x
    x = 67,565,527,456.38/299,462.67
  6. Step 6: Final answer
    x = 225,622.54

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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.