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Finding the Fourth Proportional to 416,163.86, 574,302.04 and 225,173.06

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Solution

The fourth proportional to 416,163.86, 574,302.04 and 225,173.06 is: 310,736.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,163.86 : 574,302.04 = 225,173.06 : x
  2. Step 2: Convert to fraction form
    416,163.86/574,302.04 = 225,173.06/x
  3. Step 3: Cross multiply
    416,163.86x = 574,302.04 × 225,173.06
  4. Step 4: Simplify right side
    416,163.86x = 129,317,344,276.60
  5. Step 5: Solve for x
    x = 129,317,344,276.60/416,163.86
  6. Step 6: Final answer
    x = 310,736.61

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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.