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Finding the Fourth Proportional to 541,809.36, 813,213 and 275,760

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Solution

The fourth proportional to 541,809.36, 813,213 and 275,760 is: 413,893.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,809.36 : 813,213 = 275,760 : x
  2. Step 2: Convert to fraction form
    541,809.36/813,213 = 275,760/x
  3. Step 3: Cross multiply
    541,809.36x = 813,213 × 275,760
  4. Step 4: Simplify right side
    541,809.36x = 224,251,616,880
  5. Step 5: Solve for x
    x = 224,251,616,880/541,809.36
  6. Step 6: Final answer
    x = 413,893.95

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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.