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Finding the Fourth Proportional to 298,016.92, 411,261.10 and 162,050.95

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Solution

The fourth proportional to 298,016.92, 411,261.10 and 162,050.95 is: 223,629.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,016.92 : 411,261.10 = 162,050.95 : x
  2. Step 2: Convert to fraction form
    298,016.92/411,261.10 = 162,050.95/x
  3. Step 3: Cross multiply
    298,016.92x = 411,261.10 × 162,050.95
  4. Step 4: Simplify right side
    298,016.92x = 66,645,251,953.05
  5. Step 5: Solve for x
    x = 66,645,251,953.05/298,016.92
  6. Step 6: Final answer
    x = 223,629.09

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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.