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Finding the Fourth Proportional to 237,464.64, 327,854.16 and 211,926.96

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Solution

The fourth proportional to 237,464.64, 327,854.16 and 211,926.96 is: 292,595.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,464.64 : 327,854.16 = 211,926.96 : x
  2. Step 2: Convert to fraction form
    237,464.64/327,854.16 = 211,926.96/x
  3. Step 3: Cross multiply
    237,464.64x = 327,854.16 × 211,926.96
  4. Step 4: Simplify right side
    237,464.64x = 69,481,135,452.15
  5. Step 5: Solve for x
    x = 69,481,135,452.15/237,464.64
  6. Step 6: Final answer
    x = 292,595.71

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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.