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Finding the Fourth Proportional to 301,505.38, 416,078.24 and 165,548.14

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Solution

The fourth proportional to 301,505.38, 416,078.24 and 165,548.14 is: 228,456.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,505.38 : 416,078.24 = 165,548.14 : x
  2. Step 2: Convert to fraction form
    301,505.38/416,078.24 = 165,548.14/x
  3. Step 3: Cross multiply
    301,505.38x = 416,078.24 × 165,548.14
  4. Step 4: Simplify right side
    301,505.38x = 68,880,976,858.54
  5. Step 5: Solve for x
    x = 68,880,976,858.54/301,505.38
  6. Step 6: Final answer
    x = 228,456.87

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1.5x scale

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.