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Finding the Fourth Proportional to 301,390.26, 415,923.83 and 165,436.92

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Solution

The fourth proportional to 301,390.26, 415,923.83 and 165,436.92 is: 228,305.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,390.26 : 415,923.83 = 165,436.92 : x
  2. Step 2: Convert to fraction form
    301,390.26/415,923.83 = 165,436.92/x
  3. Step 3: Cross multiply
    301,390.26x = 415,923.83 × 165,436.92
  4. Step 4: Simplify right side
    301,390.26x = 68,809,157,389.80
  5. Step 5: Solve for x
    x = 68,809,157,389.80/301,390.26
  6. Step 6: Final answer
    x = 228,305.84

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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.