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Finding the Fourth Proportional to 505,415.98, 758,233.32 and 150,458.59

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Solution

The fourth proportional to 505,415.98, 758,233.32 and 150,458.59 is: 225,720.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,415.98 : 758,233.32 = 150,458.59 : x
  2. Step 2: Convert to fraction form
    505,415.98/758,233.32 = 150,458.59/x
  3. Step 3: Cross multiply
    505,415.98x = 758,233.32 × 150,458.59
  4. Step 4: Simplify right side
    505,415.98x = 114,082,716,218.22
  5. Step 5: Solve for x
    x = 114,082,716,218.22/505,415.98
  6. Step 6: Final answer
    x = 225,720.44

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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.