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Finding the Fourth Proportional to 301,523.56, 416,108.46 and 165,556.32

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Solution

The fourth proportional to 301,523.56, 416,108.46 and 165,556.32 is: 228,470.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,523.56 : 416,108.46 = 165,556.32 : x
  2. Step 2: Convert to fraction form
    301,523.56/416,108.46 = 165,556.32/x
  3. Step 3: Cross multiply
    301,523.56x = 416,108.46 × 165,556.32
  4. Step 4: Simplify right side
    301,523.56x = 68,889,385,358.47
  5. Step 5: Solve for x
    x = 68,889,385,358.47/301,523.56
  6. Step 6: Final answer
    x = 228,470.99

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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.