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Finding the Fourth Proportional to 505,149.80, 697,197.03 and 301,213.85

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Solution

The fourth proportional to 505,149.80, 697,197.03 and 301,213.85 is: 415,728.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,149.80 : 697,197.03 = 301,213.85 : x
  2. Step 2: Convert to fraction form
    505,149.80/697,197.03 = 301,213.85/x
  3. Step 3: Cross multiply
    505,149.80x = 697,197.03 × 301,213.85
  4. Step 4: Simplify right side
    505,149.80x = 210,005,401,614.87
  5. Step 5: Solve for x
    x = 210,005,401,614.87/505,149.80
  6. Step 6: Final answer
    x = 415,728.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.