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Finding the Fourth Proportional to 284,825.73, 426,864.84 and 209,593.60

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Solution

The fourth proportional to 284,825.73, 426,864.84 and 209,593.60 is: 314,115.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,825.73 : 426,864.84 = 209,593.60 : x
  2. Step 2: Convert to fraction form
    284,825.73/426,864.84 = 209,593.60/x
  3. Step 3: Cross multiply
    284,825.73x = 426,864.84 × 209,593.60
  4. Step 4: Simplify right side
    284,825.73x = 89,468,138,529.02
  5. Step 5: Solve for x
    x = 89,468,138,529.02/284,825.73
  6. Step 6: Final answer
    x = 314,115.37

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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.