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Finding the Fourth Proportional to 500,698.50, 751,141.92 and 201,202.83

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Solution

The fourth proportional to 500,698.50, 751,141.92 and 201,202.83 is: 301,842.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,698.50 : 751,141.92 = 201,202.83 : x
  2. Step 2: Convert to fraction form
    500,698.50/751,141.92 = 201,202.83/x
  3. Step 3: Cross multiply
    500,698.50x = 751,141.92 × 201,202.83
  4. Step 4: Simplify right side
    500,698.50x = 151,131,880,035.63
  5. Step 5: Solve for x
    x = 151,131,880,035.63/500,698.50
  6. Step 6: Final answer
    x = 301,842.09

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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.