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Finding the Fourth Proportional to 295,996.38, 408,466.71 and 161,857.50

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Solution

The fourth proportional to 295,996.38, 408,466.71 and 161,857.50 is: 223,358.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,996.38 : 408,466.71 = 161,857.50 : x
  2. Step 2: Convert to fraction form
    295,996.38/408,466.71 = 161,857.50/x
  3. Step 3: Cross multiply
    295,996.38x = 408,466.71 × 161,857.50
  4. Step 4: Simplify right side
    295,996.38x = 66,113,400,513.83
  5. Step 5: Solve for x
    x = 66,113,400,513.83/295,996.38
  6. Step 6: Final answer
    x = 223,358.81

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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.