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Finding the Fourth Proportional to 297,906.66, 446,719.52 and 108,233.28

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Solution

The fourth proportional to 297,906.66, 446,719.52 and 108,233.28 is: 162,298.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,906.66 : 446,719.52 = 108,233.28 : x
  2. Step 2: Convert to fraction form
    297,906.66/446,719.52 = 108,233.28/x
  3. Step 3: Cross multiply
    297,906.66x = 446,719.52 × 108,233.28
  4. Step 4: Simplify right side
    297,906.66x = 48,349,919,160.21
  5. Step 5: Solve for x
    x = 48,349,919,160.21/297,906.66
  6. Step 6: Final answer
    x = 162,298.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.