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Finding the Fourth Proportional to 382,362.88, 527,649.92 and 212,593.92

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Solution

The fourth proportional to 382,362.88, 527,649.92 and 212,593.92 is: 293,373.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,362.88 : 527,649.92 = 212,593.92 : x
  2. Step 2: Convert to fraction form
    382,362.88/527,649.92 = 212,593.92/x
  3. Step 3: Cross multiply
    382,362.88x = 527,649.92 × 212,593.92
  4. Step 4: Simplify right side
    382,362.88x = 112,175,164,880.49
  5. Step 5: Solve for x
    x = 112,175,164,880.49/382,362.88
  6. Step 6: Final answer
    x = 293,373.57

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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.