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Finding the Fourth Proportional to 332,864.86, 458,992.25 and 211,851.31

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Solution

The fourth proportional to 332,864.86, 458,992.25 and 211,851.31 is: 292,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,864.86 : 458,992.25 = 211,851.31 : x
  2. Step 2: Convert to fraction form
    332,864.86/458,992.25 = 211,851.31/x
  3. Step 3: Cross multiply
    332,864.86x = 458,992.25 × 211,851.31
  4. Step 4: Simplify right side
    332,864.86x = 97,238,109,442.35
  5. Step 5: Solve for x
    x = 97,238,109,442.35/332,864.86
  6. Step 6: Final answer
    x = 292,124.89

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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.