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Finding the Fourth Proportional to 463,077.84, 694,612.80 and 361,960.96

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Solution

The fourth proportional to 463,077.84, 694,612.80 and 361,960.96 is: 542,938.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,077.84 : 694,612.80 = 361,960.96 : x
  2. Step 2: Convert to fraction form
    463,077.84/694,612.80 = 361,960.96/x
  3. Step 3: Cross multiply
    463,077.84x = 694,612.80 × 361,960.96
  4. Step 4: Simplify right side
    463,077.84x = 251,422,715,916.29
  5. Step 5: Solve for x
    x = 251,422,715,916.29/463,077.84
  6. Step 6: Final answer
    x = 542,938.34

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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.