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Finding the Fourth Proportional to 298,474.92, 411,924.42 and 222,892.20

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Solution

The fourth proportional to 298,474.92, 411,924.42 and 222,892.20 is: 307,612.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,474.92 : 411,924.42 = 222,892.20 : x
  2. Step 2: Convert to fraction form
    298,474.92/411,924.42 = 222,892.20/x
  3. Step 3: Cross multiply
    298,474.92x = 411,924.42 × 222,892.20
  4. Step 4: Simplify right side
    298,474.92x = 91,814,740,207.52
  5. Step 5: Solve for x
    x = 91,814,740,207.52/298,474.92
  6. Step 6: Final answer
    x = 307,612.92

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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.