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Finding the Fourth Proportional to 330,632.82, 495,470.57 and 227,944.75

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Solution

The fourth proportional to 330,632.82, 495,470.57 and 227,944.75 is: 341,587.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,632.82 : 495,470.57 = 227,944.75 : x
  2. Step 2: Convert to fraction form
    330,632.82/495,470.57 = 227,944.75/x
  3. Step 3: Cross multiply
    330,632.82x = 495,470.57 × 227,944.75
  4. Step 4: Simplify right side
    330,632.82x = 112,939,915,211.01
  5. Step 5: Solve for x
    x = 112,939,915,211.01/330,632.82
  6. Step 6: Final answer
    x = 341,587.13

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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.