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Finding the Fourth Proportional to 547,471.80, 821,361.30 and 266,998.20

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Solution

The fourth proportional to 547,471.80, 821,361.30 and 266,998.20 is: 400,572.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,471.80 : 821,361.30 = 266,998.20 : x
  2. Step 2: Convert to fraction form
    547,471.80/821,361.30 = 266,998.20/x
  3. Step 3: Cross multiply
    547,471.80x = 821,361.30 × 266,998.20
  4. Step 4: Simplify right side
    547,471.80x = 219,301,988,649.66
  5. Step 5: Solve for x
    x = 219,301,988,649.66/547,471.80
  6. Step 6: Final answer
    x = 400,572.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.