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Finding the Fourth Proportional to 510,363.80, 704,296.50 and 280,916.12

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Solution

The fourth proportional to 510,363.80, 704,296.50 and 280,916.12 is: 387,661.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,363.80 : 704,296.50 = 280,916.12 : x
  2. Step 2: Convert to fraction form
    510,363.80/704,296.50 = 280,916.12/x
  3. Step 3: Cross multiply
    510,363.80x = 704,296.50 × 280,916.12
  4. Step 4: Simplify right side
    510,363.80x = 197,848,240,109.58
  5. Step 5: Solve for x
    x = 197,848,240,109.58/510,363.80
  6. Step 6: Final answer
    x = 387,661.19

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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.