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Finding the Fourth Proportional to 467,724.60, 701,793.45 and 227,705.40

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Solution

The fourth proportional to 467,724.60, 701,793.45 and 227,705.40 is: 341,658.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,724.60 : 701,793.45 = 227,705.40 : x
  2. Step 2: Convert to fraction form
    467,724.60/701,793.45 = 227,705.40/x
  3. Step 3: Cross multiply
    467,724.60x = 701,793.45 × 227,705.40
  4. Step 4: Simplify right side
    467,724.60x = 159,802,158,249.63
  5. Step 5: Solve for x
    x = 159,802,158,249.63/467,724.60
  6. Step 6: Final answer
    x = 341,658.66

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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.