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Finding the Fourth Proportional to 298,461.13, 411,873.82 and 162,494.73

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Solution

The fourth proportional to 298,461.13, 411,873.82 and 162,494.73 is: 224,241.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,461.13 : 411,873.82 = 162,494.73 : x
  2. Step 2: Convert to fraction form
    298,461.13/411,873.82 = 162,494.73/x
  3. Step 3: Cross multiply
    298,461.13x = 411,873.82 × 162,494.73
  4. Step 4: Simplify right side
    298,461.13x = 66,927,325,174.97
  5. Step 5: Solve for x
    x = 66,927,325,174.97/298,461.13
  6. Step 6: Final answer
    x = 224,241.34

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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.