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Finding the Fourth Proportional to 297,832.56, 411,117.12 and 197,262.96

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Solution

The fourth proportional to 297,832.56, 411,117.12 and 197,262.96 is: 272,294.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,832.56 : 411,117.12 = 197,262.96 : x
  2. Step 2: Convert to fraction form
    297,832.56/411,117.12 = 197,262.96/x
  3. Step 3: Cross multiply
    297,832.56x = 411,117.12 × 197,262.96
  4. Step 4: Simplify right side
    297,832.56x = 81,098,179,997.88
  5. Step 5: Solve for x
    x = 81,098,179,997.88/297,832.56
  6. Step 6: Final answer
    x = 272,294.54

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1.5x scale

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.