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Finding the Fourth Proportional to 284,824.73, 426,863.34 and 209,592.60

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Solution

The fourth proportional to 284,824.73, 426,863.34 and 209,592.60 is: 314,113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,824.73 : 426,863.34 = 209,592.60 : x
  2. Step 2: Convert to fraction form
    284,824.73/426,863.34 = 209,592.60/x
  3. Step 3: Cross multiply
    284,824.73x = 426,863.34 × 209,592.60
  4. Step 4: Simplify right side
    284,824.73x = 89,467,397,275.28
  5. Step 5: Solve for x
    x = 89,467,397,275.28/284,824.73
  6. Step 6: Final answer
    x = 314,113.87

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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.