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Finding the Fourth Proportional to 437,617.98, 603,749.93 and 294,150.78

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Solution

The fourth proportional to 437,617.98, 603,749.93 and 294,150.78 is: 405,818.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,617.98 : 603,749.93 = 294,150.78 : x
  2. Step 2: Convert to fraction form
    437,617.98/603,749.93 = 294,150.78/x
  3. Step 3: Cross multiply
    437,617.98x = 603,749.93 × 294,150.78
  4. Step 4: Simplify right side
    437,617.98x = 177,593,511,363.69
  5. Step 5: Solve for x
    x = 177,593,511,363.69/437,617.98
  6. Step 6: Final answer
    x = 405,818.59

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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.