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Finding the Fourth Proportional to 416,494.31, 624,662.01 and 203,047.97

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Solution

The fourth proportional to 416,494.31, 624,662.01 and 203,047.97 is: 304,533.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,494.31 : 624,662.01 = 203,047.97 : x
  2. Step 2: Convert to fraction form
    416,494.31/624,662.01 = 203,047.97/x
  3. Step 3: Cross multiply
    416,494.31x = 624,662.01 × 203,047.97
  4. Step 4: Simplify right side
    416,494.31x = 126,836,349,943.31
  5. Step 5: Solve for x
    x = 126,836,349,943.31/416,494.31
  6. Step 6: Final answer
    x = 304,533.22

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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.