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Finding the Fourth Proportional to 510,841.52, 704,910.84 and 284,508.08

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Solution

The fourth proportional to 510,841.52, 704,910.84 and 284,508.08 is: 392,593.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,841.52 : 704,910.84 = 284,508.08 : x
  2. Step 2: Convert to fraction form
    510,841.52/704,910.84 = 284,508.08/x
  3. Step 3: Cross multiply
    510,841.52x = 704,910.84 × 284,508.08
  4. Step 4: Simplify right side
    510,841.52x = 200,552,829,659.59
  5. Step 5: Solve for x
    x = 200,552,829,659.59/510,841.52
  6. Step 6: Final answer
    x = 392,593.05

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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.