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Finding the Fourth Proportional to 409,601.08, 614,309.44 and 146,945.08

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Solution

The fourth proportional to 409,601.08, 614,309.44 and 146,945.08 is: 220,384.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,601.08 : 614,309.44 = 146,945.08 : x
  2. Step 2: Convert to fraction form
    409,601.08/614,309.44 = 146,945.08/x
  3. Step 3: Cross multiply
    409,601.08x = 614,309.44 × 146,945.08
  4. Step 4: Simplify right side
    409,601.08x = 90,269,749,805.56
  5. Step 5: Solve for x
    x = 90,269,749,805.56/409,601.08
  6. Step 6: Final answer
    x = 220,384.55

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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.