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Finding the Fourth Proportional to 361,330.96, 498,607.44 and 200,192.80

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Solution

The fourth proportional to 361,330.96, 498,607.44 and 200,192.80 is: 276,249.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,330.96 : 498,607.44 = 200,192.80 : x
  2. Step 2: Convert to fraction form
    361,330.96/498,607.44 = 200,192.80/x
  3. Step 3: Cross multiply
    361,330.96x = 498,607.44 × 200,192.80
  4. Step 4: Simplify right side
    361,330.96x = 99,817,619,514.43
  5. Step 5: Solve for x
    x = 99,817,619,514.43/361,330.96
  6. Step 6: Final answer
    x = 276,249.84

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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.