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Finding the Fourth Proportional to 378,414.18, 522,224.01 and 217,297.89

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Solution

The fourth proportional to 378,414.18, 522,224.01 and 217,297.89 is: 299,878.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,414.18 : 522,224.01 = 217,297.89 : x
  2. Step 2: Convert to fraction form
    378,414.18/522,224.01 = 217,297.89/x
  3. Step 3: Cross multiply
    378,414.18x = 522,224.01 × 217,297.89
  4. Step 4: Simplify right side
    378,414.18x = 113,478,175,480.34
  5. Step 5: Solve for x
    x = 113,478,175,480.34/378,414.18
  6. Step 6: Final answer
    x = 299,878.23

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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.