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Finding the Fourth Proportional to 324,693.90, 447,787.50 and 203,846.46

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Solution

The fourth proportional to 324,693.90, 447,787.50 and 203,846.46 is: 281,126.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,693.90 : 447,787.50 = 203,846.46 : x
  2. Step 2: Convert to fraction form
    324,693.90/447,787.50 = 203,846.46/x
  3. Step 3: Cross multiply
    324,693.90x = 447,787.50 × 203,846.46
  4. Step 4: Simplify right side
    324,693.90x = 91,279,896,707.25
  5. Step 5: Solve for x
    x = 91,279,896,707.25/324,693.90
  6. Step 6: Final answer
    x = 281,126.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.