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Finding the Fourth Proportional to 853,707.22, 1,280,385.84 and 313,777.42

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Solution

The fourth proportional to 853,707.22, 1,280,385.84 and 313,777.42 is: 470,601.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,707.22 : 1,280,385.84 = 313,777.42 : x
  2. Step 2: Convert to fraction form
    853,707.22/1,280,385.84 = 313,777.42/x
  3. Step 3: Cross multiply
    853,707.22x = 1,280,385.84 × 313,777.42
  4. Step 4: Simplify right side
    853,707.22x = 401,756,165,479.73
  5. Step 5: Solve for x
    x = 401,756,165,479.73/853,707.22
  6. Step 6: Final answer
    x = 470,601.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.