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Finding the Fourth Proportional to 505,048.36, 757,375.66 and 189,333

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Solution

The fourth proportional to 505,048.36, 757,375.66 and 189,333 is: 283,925.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,048.36 : 757,375.66 = 189,333 : x
  2. Step 2: Convert to fraction form
    505,048.36/757,375.66 = 189,333/x
  3. Step 3: Cross multiply
    505,048.36x = 757,375.66 × 189,333
  4. Step 4: Simplify right side
    505,048.36x = 143,396,205,834.78
  5. Step 5: Solve for x
    x = 143,396,205,834.78/505,048.36
  6. Step 6: Final answer
    x = 283,925.69

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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.