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Finding the Fourth Proportional to 416,204.22, 574,361.94 and 225,217.16

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Solution

The fourth proportional to 416,204.22, 574,361.94 and 225,217.16 is: 310,799.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,204.22 : 574,361.94 = 225,217.16 : x
  2. Step 2: Convert to fraction form
    416,204.22/574,361.94 = 225,217.16/x
  3. Step 3: Cross multiply
    416,204.22x = 574,361.94 × 225,217.16
  4. Step 4: Simplify right side
    416,204.22x = 129,356,163,798.66
  5. Step 5: Solve for x
    x = 129,356,163,798.66/416,204.22
  6. Step 6: Final answer
    x = 310,799.74

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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.