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Finding the Fourth Proportional to 414,984.81, 622,499.30 and 130,697.59

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Solution

The fourth proportional to 414,984.81, 622,499.30 and 130,697.59 is: 196,053.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,984.81 : 622,499.30 = 130,697.59 : x
  2. Step 2: Convert to fraction form
    414,984.81/622,499.30 = 130,697.59/x
  3. Step 3: Cross multiply
    414,984.81x = 622,499.30 × 130,697.59
  4. Step 4: Simplify right side
    414,984.81x = 81,359,159,842.94
  5. Step 5: Solve for x
    x = 81,359,159,842.94/414,984.81
  6. Step 6: Final answer
    x = 196,053.34

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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.