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Finding the Fourth Proportional to 359,336.32, 495,906.78 and 206,422.36

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Solution

The fourth proportional to 359,336.32, 495,906.78 and 206,422.36 is: 284,875.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,336.32 : 495,906.78 = 206,422.36 : x
  2. Step 2: Convert to fraction form
    359,336.32/495,906.78 = 206,422.36/x
  3. Step 3: Cross multiply
    359,336.32x = 495,906.78 × 206,422.36
  4. Step 4: Simplify right side
    359,336.32x = 102,366,247,867.60
  5. Step 5: Solve for x
    x = 102,366,247,867.60/359,336.32
  6. Step 6: Final answer
    x = 284,875.87

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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.