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Finding the Fourth Proportional to 451,734.08, 677,054.16 and 251,842.16

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Solution

The fourth proportional to 451,734.08, 677,054.16 and 251,842.16 is: 377,458.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,734.08 : 677,054.16 = 251,842.16 : x
  2. Step 2: Convert to fraction form
    451,734.08/677,054.16 = 251,842.16/x
  3. Step 3: Cross multiply
    451,734.08x = 677,054.16 × 251,842.16
  4. Step 4: Simplify right side
    451,734.08x = 170,510,782,091.39
  5. Step 5: Solve for x
    x = 170,510,782,091.39/451,734.08
  6. Step 6: Final answer
    x = 377,458.31

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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.