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Finding the Fourth Proportional to 301,862.64, 416,550.25 and 165,893.66

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Solution

The fourth proportional to 301,862.64, 416,550.25 and 165,893.66 is: 228,922.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,862.64 : 416,550.25 = 165,893.66 : x
  2. Step 2: Convert to fraction form
    301,862.64/416,550.25 = 165,893.66/x
  3. Step 3: Cross multiply
    301,862.64x = 416,550.25 × 165,893.66
  4. Step 4: Simplify right side
    301,862.64x = 69,103,045,546.42
  5. Step 5: Solve for x
    x = 69,103,045,546.42/301,862.64
  6. Step 6: Final answer
    x = 228,922.15

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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.