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Finding the Fourth Proportional to 510,599.52, 704,627.04 and 284,298.48

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Solution

The fourth proportional to 510,599.52, 704,627.04 and 284,298.48 is: 392,331.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,599.52 : 704,627.04 = 284,298.48 : x
  2. Step 2: Convert to fraction form
    510,599.52/704,627.04 = 284,298.48/x
  3. Step 3: Cross multiply
    510,599.52x = 704,627.04 × 284,298.48
  4. Step 4: Simplify right side
    510,599.52x = 200,324,396,438.90
  5. Step 5: Solve for x
    x = 200,324,396,438.90/510,599.52
  6. Step 6: Final answer
    x = 392,331.74

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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.