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Finding the Fourth Proportional to 505,991.98, 759,119.30 and 151,006

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Solution

The fourth proportional to 505,991.98, 759,119.30 and 151,006 is: 226,548.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,991.98 : 759,119.30 = 151,006 : x
  2. Step 2: Convert to fraction form
    505,991.98/759,119.30 = 151,006/x
  3. Step 3: Cross multiply
    505,991.98x = 759,119.30 × 151,006
  4. Step 4: Simplify right side
    505,991.98x = 114,631,569,015.80
  5. Step 5: Solve for x
    x = 114,631,569,015.80/505,991.98
  6. Step 6: Final answer
    x = 226,548.20

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Why These Related Problems?

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