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Finding the Fourth Proportional to 415,803.20, 622,783.20 and 322,004.80

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Solution

The fourth proportional to 415,803.20, 622,783.20 and 322,004.80 is: 482,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,803.20 : 622,783.20 = 322,004.80 : x
  2. Step 2: Convert to fraction form
    415,803.20/622,783.20 = 322,004.80/x
  3. Step 3: Cross multiply
    415,803.20x = 622,783.20 × 322,004.80
  4. Step 4: Simplify right side
    415,803.20x = 200,539,179,759.36
  5. Step 5: Solve for x
    x = 200,539,179,759.36/415,803.20
  6. Step 6: Final answer
    x = 482,293.50

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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.