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Finding the Fourth Proportional to 298,096.96, 411,543.84 and 197,631.04

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Solution

The fourth proportional to 298,096.96, 411,543.84 and 197,631.04 is: 272,843.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,096.96 : 411,543.84 = 197,631.04 : x
  2. Step 2: Convert to fraction form
    298,096.96/411,543.84 = 197,631.04/x
  3. Step 3: Cross multiply
    298,096.96x = 411,543.84 × 197,631.04
  4. Step 4: Simplify right side
    298,096.96x = 81,333,837,104.79
  5. Step 5: Solve for x
    x = 81,333,837,104.79/298,096.96
  6. Step 6: Final answer
    x = 272,843.56

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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.