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Finding the Fourth Proportional to 456,147.43, 629,458.01 and 252,186.46

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Solution

The fourth proportional to 456,147.43, 629,458.01 and 252,186.46 is: 348,003.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,147.43 : 629,458.01 = 252,186.46 : x
  2. Step 2: Convert to fraction form
    456,147.43/629,458.01 = 252,186.46/x
  3. Step 3: Cross multiply
    456,147.43x = 629,458.01 × 252,186.46
  4. Step 4: Simplify right side
    456,147.43x = 158,740,787,260.55
  5. Step 5: Solve for x
    x = 158,740,787,260.55/456,147.43
  6. Step 6: Final answer
    x = 348,003.25

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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.