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Finding the Fourth Proportional to 382,496.28, 527,863.56 and 212,726.76

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Solution

The fourth proportional to 382,496.28, 527,863.56 and 212,726.76 is: 293,573.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,496.28 : 527,863.56 = 212,726.76 : x
  2. Step 2: Convert to fraction form
    382,496.28/527,863.56 = 212,726.76/x
  3. Step 3: Cross multiply
    382,496.28x = 527,863.56 × 212,726.76
  4. Step 4: Simplify right side
    382,496.28x = 112,290,704,840.87
  5. Step 5: Solve for x
    x = 112,290,704,840.87/382,496.28
  6. Step 6: Final answer
    x = 293,573.33

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1.5x scale

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.