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Finding the Fourth Proportional to 505,647.24, 758,580.34 and 150,689.84

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Solution

The fourth proportional to 505,647.24, 758,580.34 and 150,689.84 is: 226,067.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,647.24 : 758,580.34 = 150,689.84 : x
  2. Step 2: Convert to fraction form
    505,647.24/758,580.34 = 150,689.84/x
  3. Step 3: Cross multiply
    505,647.24x = 758,580.34 × 150,689.84
  4. Step 4: Simplify right side
    505,647.24x = 114,310,350,061.75
  5. Step 5: Solve for x
    x = 114,310,350,061.75/505,647.24
  6. Step 6: Final answer
    x = 226,067.39

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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.