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Finding the Fourth Proportional to 293,700.74, 405,372.22 and 166,446.50

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Solution

The fourth proportional to 293,700.74, 405,372.22 and 166,446.50 is: 229,733.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,700.74 : 405,372.22 = 166,446.50 : x
  2. Step 2: Convert to fraction form
    293,700.74/405,372.22 = 166,446.50/x
  3. Step 3: Cross multiply
    293,700.74x = 405,372.22 × 166,446.50
  4. Step 4: Simplify right side
    293,700.74x = 67,472,787,216.23
  5. Step 5: Solve for x
    x = 67,472,787,216.23/293,700.74
  6. Step 6: Final answer
    x = 229,733.12

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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.