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Finding the Fourth Proportional to 301,644.72, 416,274.71 and 165,691.23

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Solution

The fourth proportional to 301,644.72, 416,274.71 and 165,691.23 is: 228,656.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,644.72 : 416,274.71 = 165,691.23 : x
  2. Step 2: Convert to fraction form
    301,644.72/416,274.71 = 165,691.23/x
  3. Step 3: Cross multiply
    301,644.72x = 416,274.71 × 165,691.23
  4. Step 4: Simplify right side
    301,644.72x = 68,973,067,889.34
  5. Step 5: Solve for x
    x = 68,973,067,889.34/301,644.72
  6. Step 6: Final answer
    x = 228,656.64

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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.