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Finding the Fourth Proportional to 407,997.60, 611,996.40 and 197,656.80

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Solution

The fourth proportional to 407,997.60, 611,996.40 and 197,656.80 is: 296,485.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,997.60 : 611,996.40 = 197,656.80 : x
  2. Step 2: Convert to fraction form
    407,997.60/611,996.40 = 197,656.80/x
  3. Step 3: Cross multiply
    407,997.60x = 611,996.40 × 197,656.80
  4. Step 4: Simplify right side
    407,997.60x = 120,965,250,035.52
  5. Step 5: Solve for x
    x = 120,965,250,035.52/407,997.60
  6. Step 6: Final answer
    x = 296,485.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.