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Finding the Fourth Proportional to 382,274.97, 527,553.01 and 210,206.03

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Solution

The fourth proportional to 382,274.97, 527,553.01 and 210,206.03 is: 290,091.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,274.97 : 527,553.01 = 210,206.03 : x
  2. Step 2: Convert to fraction form
    382,274.97/527,553.01 = 210,206.03/x
  3. Step 3: Cross multiply
    382,274.97x = 527,553.01 × 210,206.03
  4. Step 4: Simplify right side
    382,274.97x = 110,894,820,683.37
  5. Step 5: Solve for x
    x = 110,894,820,683.37/382,274.97
  6. Step 6: Final answer
    x = 290,091.76

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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.