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Finding the Fourth Proportional to 416,203.32, 574,361.58 and 225,218.76

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Solution

The fourth proportional to 416,203.32, 574,361.58 and 225,218.76 is: 310,802.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,203.32 : 574,361.58 = 225,218.76 : x
  2. Step 2: Convert to fraction form
    416,203.32/574,361.58 = 225,218.76/x
  3. Step 3: Cross multiply
    416,203.32x = 574,361.58 × 225,218.76
  4. Step 4: Simplify right side
    416,203.32x = 129,357,002,839.24
  5. Step 5: Solve for x
    x = 129,357,002,839.24/416,203.32
  6. Step 6: Final answer
    x = 310,802.43

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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.