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Finding the Fourth Proportional to 412,563.54, 618,487.53 and 159,669.95

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Solution

The fourth proportional to 412,563.54, 618,487.53 and 159,669.95 is: 239,366.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,563.54 : 618,487.53 = 159,669.95 : x
  2. Step 2: Convert to fraction form
    412,563.54/618,487.53 = 159,669.95/x
  3. Step 3: Cross multiply
    412,563.54x = 618,487.53 × 159,669.95
  4. Step 4: Simplify right side
    412,563.54x = 98,753,869,898.29
  5. Step 5: Solve for x
    x = 98,753,869,898.29/412,563.54
  6. Step 6: Final answer
    x = 239,366.45

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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.