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Finding the Fourth Proportional to 361,812.27, 499,330.80 and 200,719.20

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Solution

The fourth proportional to 361,812.27, 499,330.80 and 200,719.20 is: 277,009.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,812.27 : 499,330.80 = 200,719.20 : x
  2. Step 2: Convert to fraction form
    361,812.27/499,330.80 = 200,719.20/x
  3. Step 3: Cross multiply
    361,812.27x = 499,330.80 × 200,719.20
  4. Step 4: Simplify right side
    361,812.27x = 100,225,278,711.36
  5. Step 5: Solve for x
    x = 100,225,278,711.36/361,812.27
  6. Step 6: Final answer
    x = 277,009.07

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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.