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Finding the Fourth Proportional to 414,308.89, 620,896.34 and 313,023.68

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Solution

The fourth proportional to 414,308.89, 620,896.34 and 313,023.68 is: 469,107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,308.89 : 620,896.34 = 313,023.68 : x
  2. Step 2: Convert to fraction form
    414,308.89/620,896.34 = 313,023.68/x
  3. Step 3: Cross multiply
    414,308.89x = 620,896.34 × 313,023.68
  4. Step 4: Simplify right side
    414,308.89x = 194,355,254,923.41
  5. Step 5: Solve for x
    x = 194,355,254,923.41/414,308.89
  6. Step 6: Final answer
    x = 469,107.13

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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.