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Finding the Fourth Proportional to 295,635.92, 407,977.46 and 159,669.83

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Solution

The fourth proportional to 295,635.92, 407,977.46 and 159,669.83 is: 220,344.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,635.92 : 407,977.46 = 159,669.83 : x
  2. Step 2: Convert to fraction form
    295,635.92/407,977.46 = 159,669.83/x
  3. Step 3: Cross multiply
    295,635.92x = 407,977.46 × 159,669.83
  4. Step 4: Simplify right side
    295,635.92x = 65,141,688,843.80
  5. Step 5: Solve for x
    x = 65,141,688,843.80/295,635.92
  6. Step 6: Final answer
    x = 220,344.30

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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.