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Finding the Fourth Proportional to 293,800.88, 405,422.34 and 166,496.42

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Solution

The fourth proportional to 293,800.88, 405,422.34 and 166,496.42 is: 229,752.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,800.88 : 405,422.34 = 166,496.42 : x
  2. Step 2: Convert to fraction form
    293,800.88/405,422.34 = 166,496.42/x
  3. Step 3: Cross multiply
    293,800.88x = 405,422.34 × 166,496.42
  4. Step 4: Simplify right side
    293,800.88x = 67,501,368,198.02
  5. Step 5: Solve for x
    x = 67,501,368,198.02/293,800.88
  6. Step 6: Final answer
    x = 229,752.10

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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.