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Finding the Fourth Proportional to 265,222.24, 397,837.01 and 75,682.55

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Solution

The fourth proportional to 265,222.24, 397,837.01 and 75,682.55 is: 113,524.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,222.24 : 397,837.01 = 75,682.55 : x
  2. Step 2: Convert to fraction form
    265,222.24/397,837.01 = 75,682.55/x
  3. Step 3: Cross multiply
    265,222.24x = 397,837.01 × 75,682.55
  4. Step 4: Simplify right side
    265,222.24x = 30,109,317,411.99
  5. Step 5: Solve for x
    x = 30,109,317,411.99/265,222.24
  6. Step 6: Final answer
    x = 113,524.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.