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Finding the Fourth Proportional to 298,010.86, 411,255.48 and 162,044.68

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Solution

The fourth proportional to 298,010.86, 411,255.48 and 162,044.68 is: 223,621.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,010.86 : 411,255.48 = 162,044.68 : x
  2. Step 2: Convert to fraction form
    298,010.86/411,255.48 = 162,044.68/x
  3. Step 3: Cross multiply
    298,010.86x = 411,255.48 × 162,044.68
  4. Step 4: Simplify right side
    298,010.86x = 66,641,762,654.85
  5. Step 5: Solve for x
    x = 66,641,762,654.85/298,010.86
  6. Step 6: Final answer
    x = 223,621.93

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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.