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Finding the Fourth Proportional to 507,195.22, 699,920.85 and 280,835.86

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Solution

The fourth proportional to 507,195.22, 699,920.85 and 280,835.86 is: 387,548.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,195.22 : 699,920.85 = 280,835.86 : x
  2. Step 2: Convert to fraction form
    507,195.22/699,920.85 = 280,835.86/x
  3. Step 3: Cross multiply
    507,195.22x = 699,920.85 × 280,835.86
  4. Step 4: Simplify right side
    507,195.22x = 196,562,873,841.68
  5. Step 5: Solve for x
    x = 196,562,873,841.68/507,195.22
  6. Step 6: Final answer
    x = 387,548.75

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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.