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Finding the Fourth Proportional to 505,642.23, 758,572.83 and 150,684.84

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Solution

The fourth proportional to 505,642.23, 758,572.83 and 150,684.84 is: 226,059.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,642.23 : 758,572.83 = 150,684.84 : x
  2. Step 2: Convert to fraction form
    505,642.23/758,572.83 = 150,684.84/x
  3. Step 3: Cross multiply
    505,642.23x = 758,572.83 × 150,684.84
  4. Step 4: Simplify right side
    505,642.23x = 114,305,425,516.90
  5. Step 5: Solve for x
    x = 114,305,425,516.90/505,642.23
  6. Step 6: Final answer
    x = 226,059.89

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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.