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Finding the Fourth Proportional to 301,604.51, 416,197.71 and 165,656.27

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Solution

The fourth proportional to 301,604.51, 416,197.71 and 165,656.27 is: 228,596.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,604.51 : 416,197.71 = 165,656.27 : x
  2. Step 2: Convert to fraction form
    301,604.51/416,197.71 = 165,656.27/x
  3. Step 3: Cross multiply
    301,604.51x = 416,197.71 × 165,656.27
  4. Step 4: Simplify right side
    301,604.51x = 68,945,760,221.14
  5. Step 5: Solve for x
    x = 68,945,760,221.14/301,604.51
  6. Step 6: Final answer
    x = 228,596.58

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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.