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Finding the Fourth Proportional to 416,137.38, 574,269.59 and 225,150.77

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Solution

The fourth proportional to 416,137.38, 574,269.59 and 225,150.77 is: 310,708.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,137.38 : 574,269.59 = 225,150.77 : x
  2. Step 2: Convert to fraction form
    416,137.38/574,269.59 = 225,150.77/x
  3. Step 3: Cross multiply
    416,137.38x = 574,269.59 × 225,150.77
  4. Step 4: Simplify right side
    416,137.38x = 129,297,236,378.98
  5. Step 5: Solve for x
    x = 129,297,236,378.98/416,137.38
  6. Step 6: Final answer
    x = 310,708.06

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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.