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Finding the Fourth Proportional to 301,523.14, 416,109.86 and 165,565.86

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Solution

The fourth proportional to 301,523.14, 416,109.86 and 165,565.86 is: 228,485.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,523.14 : 416,109.86 = 165,565.86 : x
  2. Step 2: Convert to fraction form
    301,523.14/416,109.86 = 165,565.86/x
  3. Step 3: Cross multiply
    301,523.14x = 416,109.86 × 165,565.86
  4. Step 4: Simplify right side
    301,523.14x = 68,893,586,825.38
  5. Step 5: Solve for x
    x = 68,893,586,825.38/301,523.14
  6. Step 6: Final answer
    x = 228,485.24

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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.