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Finding the Fourth Proportional to 293,732.76, 405,349.78 and 166,408.05

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Solution

The fourth proportional to 293,732.76, 405,349.78 and 166,408.05 is: 229,642.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,732.76 : 405,349.78 = 166,408.05 : x
  2. Step 2: Convert to fraction form
    293,732.76/405,349.78 = 166,408.05/x
  3. Step 3: Cross multiply
    293,732.76x = 405,349.78 × 166,408.05
  4. Step 4: Simplify right side
    293,732.76x = 67,453,466,457.73
  5. Step 5: Solve for x
    x = 67,453,466,457.73/293,732.76
  6. Step 6: Final answer
    x = 229,642.30

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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.