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Finding the Fourth Proportional to 505,190.72, 697,145.84 and 301,136.46

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Solution

The fourth proportional to 505,190.72, 697,145.84 and 301,136.46 is: 415,557.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,190.72 : 697,145.84 = 301,136.46 : x
  2. Step 2: Convert to fraction form
    505,190.72/697,145.84 = 301,136.46/x
  3. Step 3: Cross multiply
    505,190.72x = 697,145.84 × 301,136.46
  4. Step 4: Simplify right side
    505,190.72x = 209,936,029,331.33
  5. Step 5: Solve for x
    x = 209,936,029,331.33/505,190.72
  6. Step 6: Final answer
    x = 415,557.97

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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.