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Finding the Fourth Proportional to 414,892.47, 622,449.45 and 148,679.89

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Solution

The fourth proportional to 414,892.47, 622,449.45 and 148,679.89 is: 223,059.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,892.47 : 622,449.45 = 148,679.89 : x
  2. Step 2: Convert to fraction form
    414,892.47/622,449.45 = 148,679.89/x
  3. Step 3: Cross multiply
    414,892.47x = 622,449.45 × 148,679.89
  4. Step 4: Simplify right side
    414,892.47x = 92,545,716,146.88
  5. Step 5: Solve for x
    x = 92,545,716,146.88/414,892.47
  6. Step 6: Final answer
    x = 223,059.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.