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Finding the Fourth Proportional to 416,238.19, 574,408.67 and 225,251.57

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Solution

The fourth proportional to 416,238.19, 574,408.67 and 225,251.57 is: 310,847.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,238.19 : 574,408.67 = 225,251.57 : x
  2. Step 2: Convert to fraction form
    416,238.19/574,408.67 = 225,251.57/x
  3. Step 3: Cross multiply
    416,238.19x = 574,408.67 × 225,251.57
  4. Step 4: Simplify right side
    416,238.19x = 129,386,455,048.88
  5. Step 5: Solve for x
    x = 129,386,455,048.88/416,238.19
  6. Step 6: Final answer
    x = 310,847.15

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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.