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Finding the Fourth Proportional to 510,217.35, 704,082.30 and 280,753.19

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Solution

The fourth proportional to 510,217.35, 704,082.30 and 280,753.19 is: 387,429.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,217.35 : 704,082.30 = 280,753.19 : x
  2. Step 2: Convert to fraction form
    510,217.35/704,082.30 = 280,753.19/x
  3. Step 3: Cross multiply
    510,217.35x = 704,082.30 × 280,753.19
  4. Step 4: Simplify right side
    510,217.35x = 197,673,348,227.13
  5. Step 5: Solve for x
    x = 197,673,348,227.13/510,217.35
  6. Step 6: Final answer
    x = 387,429.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.