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Finding the Fourth Proportional to 301,872.36, 416,556.72 and 165,904.80

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Solution

The fourth proportional to 301,872.36, 416,556.72 and 165,904.80 is: 228,933.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,872.36 : 416,556.72 = 165,904.80 : x
  2. Step 2: Convert to fraction form
    301,872.36/416,556.72 = 165,904.80/x
  3. Step 3: Cross multiply
    301,872.36x = 416,556.72 × 165,904.80
  4. Step 4: Simplify right side
    301,872.36x = 69,108,759,320.26
  5. Step 5: Solve for x
    x = 69,108,759,320.26/301,872.36
  6. Step 6: Final answer
    x = 228,933.71

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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.