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Finding the Fourth Proportional to 301,872.86, 416,582.43 and 165,908.06

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Solution

The fourth proportional to 301,872.86, 416,582.43 and 165,908.06 is: 228,951.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,872.86 : 416,582.43 = 165,908.06 : x
  2. Step 2: Convert to fraction form
    301,872.86/416,582.43 = 165,908.06/x
  3. Step 3: Cross multiply
    301,872.86x = 416,582.43 × 165,908.06
  4. Step 4: Simplify right side
    301,872.86x = 69,114,382,791.39
  5. Step 5: Solve for x
    x = 69,114,382,791.39/301,872.86
  6. Step 6: Final answer
    x = 228,951.96

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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.