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Finding the Fourth Proportional to 416,469.86, 625,025.67 and 216,840.50

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Solution

The fourth proportional to 416,469.86, 625,025.67 and 216,840.50 is: 325,427.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,469.86 : 625,025.67 = 216,840.50 : x
  2. Step 2: Convert to fraction form
    416,469.86/625,025.67 = 216,840.50/x
  3. Step 3: Cross multiply
    416,469.86x = 625,025.67 × 216,840.50
  4. Step 4: Simplify right side
    416,469.86x = 135,530,878,795.64
  5. Step 5: Solve for x
    x = 135,530,878,795.64/416,469.86
  6. Step 6: Final answer
    x = 325,427.82

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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.