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Finding the Fourth Proportional to 382,298.25, 527,572.20 and 212,532.38

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Solution

The fourth proportional to 382,298.25, 527,572.20 and 212,532.38 is: 293,295.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,298.25 : 527,572.20 = 212,532.38 : x
  2. Step 2: Convert to fraction form
    382,298.25/527,572.20 = 212,532.38/x
  3. Step 3: Cross multiply
    382,298.25x = 527,572.20 × 212,532.38
  4. Step 4: Simplify right side
    382,298.25x = 112,126,172,649.98
  5. Step 5: Solve for x
    x = 112,126,172,649.98/382,298.25
  6. Step 6: Final answer
    x = 293,295.02

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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.