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Finding the Fourth Proportional to 405,843.48, 560,289.24 and 244,739.34

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Solution

The fourth proportional to 405,843.48, 560,289.24 and 244,739.34 is: 337,876.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,843.48 : 560,289.24 = 244,739.34 : x
  2. Step 2: Convert to fraction form
    405,843.48/560,289.24 = 244,739.34/x
  3. Step 3: Cross multiply
    405,843.48x = 560,289.24 × 244,739.34
  4. Step 4: Simplify right side
    405,843.48x = 137,124,818,806.70
  5. Step 5: Solve for x
    x = 137,124,818,806.70/405,843.48
  6. Step 6: Final answer
    x = 337,876.12

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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.