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Finding the Fourth Proportional to 298,957.90, 412,561.68 and 162,991.84

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Solution

The fourth proportional to 298,957.90, 412,561.68 and 162,991.84 is: 224,928.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,957.90 : 412,561.68 = 162,991.84 : x
  2. Step 2: Convert to fraction form
    298,957.90/412,561.68 = 162,991.84/x
  3. Step 3: Cross multiply
    298,957.90x = 412,561.68 × 162,991.84
  4. Step 4: Simplify right side
    298,957.90x = 67,244,187,336.69
  5. Step 5: Solve for x
    x = 67,244,187,336.69/298,957.90
  6. Step 6: Final answer
    x = 224,928.62

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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.