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Finding the Fourth Proportional to 409,433.52, 614,150.28 and 159,940.56

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Solution

The fourth proportional to 409,433.52, 614,150.28 and 159,940.56 is: 239,910.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,433.52 : 614,150.28 = 159,940.56 : x
  2. Step 2: Convert to fraction form
    409,433.52/614,150.28 = 159,940.56/x
  3. Step 3: Cross multiply
    409,433.52x = 614,150.28 × 159,940.56
  4. Step 4: Simplify right side
    409,433.52x = 98,227,539,707.36
  5. Step 5: Solve for x
    x = 98,227,539,707.36/409,433.52
  6. Step 6: Final answer
    x = 239,910.84

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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.