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Finding the Fourth Proportional to 417,188.32, 625,800.60 and 204,135.64

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Solution

The fourth proportional to 417,188.32, 625,800.60 and 204,135.64 is: 306,212.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,188.32 : 625,800.60 = 204,135.64 : x
  2. Step 2: Convert to fraction form
    417,188.32/625,800.60 = 204,135.64/x
  3. Step 3: Cross multiply
    417,188.32x = 625,800.60 × 204,135.64
  4. Step 4: Simplify right side
    417,188.32x = 127,748,205,993.38
  5. Step 5: Solve for x
    x = 127,748,205,993.38/417,188.32
  6. Step 6: Final answer
    x = 306,212.33

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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.