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Finding the Fourth Proportional to 298,273.59, 411,617.70 and 170,949.29

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Solution

The fourth proportional to 298,273.59, 411,617.70 and 170,949.29 is: 235,910.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,273.59 : 411,617.70 = 170,949.29 : x
  2. Step 2: Convert to fraction form
    298,273.59/411,617.70 = 170,949.29/x
  3. Step 3: Cross multiply
    298,273.59x = 411,617.70 × 170,949.29
  4. Step 4: Simplify right side
    298,273.59x = 70,365,751,508.34
  5. Step 5: Solve for x
    x = 70,365,751,508.34/298,273.59
  6. Step 6: Final answer
    x = 235,910.10

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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.