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Finding the Fourth Proportional to 301,314.60, 415,813.02 and 165,350.84

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Solution

The fourth proportional to 301,314.60, 415,813.02 and 165,350.84 is: 228,183.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,314.60 : 415,813.02 = 165,350.84 : x
  2. Step 2: Convert to fraction form
    301,314.60/415,813.02 = 165,350.84/x
  3. Step 3: Cross multiply
    301,314.60x = 415,813.02 × 165,350.84
  4. Step 4: Simplify right side
    301,314.60x = 68,755,032,139.94
  5. Step 5: Solve for x
    x = 68,755,032,139.94/301,314.60
  6. Step 6: Final answer
    x = 228,183.54

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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.