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Finding the Fourth Proportional to 456,222.28, 629,574.42 and 255,057.16

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Solution

The fourth proportional to 456,222.28, 629,574.42 and 255,057.16 is: 351,971.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,222.28 : 629,574.42 = 255,057.16 : x
  2. Step 2: Convert to fraction form
    456,222.28/629,574.42 = 255,057.16/x
  3. Step 3: Cross multiply
    456,222.28x = 629,574.42 × 255,057.16
  4. Step 4: Simplify right side
    456,222.28x = 160,577,463,573.85
  5. Step 5: Solve for x
    x = 160,577,463,573.85/456,222.28
  6. Step 6: Final answer
    x = 351,971.99

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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.