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Finding the Fourth Proportional to 284,806.38, 427,274.36 and 151,616.46

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Solution

The fourth proportional to 284,806.38, 427,274.36 and 151,616.46 is: 227,459.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,806.38 : 427,274.36 = 151,616.46 : x
  2. Step 2: Convert to fraction form
    284,806.38/427,274.36 = 151,616.46/x
  3. Step 3: Cross multiply
    284,806.38x = 427,274.36 × 151,616.46
  4. Step 4: Simplify right side
    284,806.38x = 64,781,825,911.97
  5. Step 5: Solve for x
    x = 64,781,825,911.97/284,806.38
  6. Step 6: Final answer
    x = 227,459.18

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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.