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Finding the Fourth Proportional to 456,003.54, 629,131.46 and 295,062.21

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Solution

The fourth proportional to 456,003.54, 629,131.46 and 295,062.21 is: 407,086.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,003.54 : 629,131.46 = 295,062.21 : x
  2. Step 2: Convert to fraction form
    456,003.54/629,131.46 = 295,062.21/x
  3. Step 3: Cross multiply
    456,003.54x = 629,131.46 × 295,062.21
  4. Step 4: Simplify right side
    456,003.54x = 185,632,917,492.82
  5. Step 5: Solve for x
    x = 185,632,917,492.82/456,003.54
  6. Step 6: Final answer
    x = 407,086.57

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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.