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Finding the Fourth Proportional to 298,552.86, 411,984.27 and 164,416.86

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Solution

The fourth proportional to 298,552.86, 411,984.27 and 164,416.86 is: 226,884.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,552.86 : 411,984.27 = 164,416.86 : x
  2. Step 2: Convert to fraction form
    298,552.86/411,984.27 = 164,416.86/x
  3. Step 3: Cross multiply
    298,552.86x = 411,984.27 × 164,416.86
  4. Step 4: Simplify right side
    298,552.86x = 67,737,160,042.79
  5. Step 5: Solve for x
    x = 67,737,160,042.79/298,552.86
  6. Step 6: Final answer
    x = 226,884.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.