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Finding the Fourth Proportional to 505,267.84, 757,243.58 and 205,398.14

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Solution

The fourth proportional to 505,267.84, 757,243.58 and 205,398.14 is: 307,829.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,267.84 : 757,243.58 = 205,398.14 : x
  2. Step 2: Convert to fraction form
    505,267.84/757,243.58 = 205,398.14/x
  3. Step 3: Cross multiply
    505,267.84x = 757,243.58 × 205,398.14
  4. Step 4: Simplify right side
    505,267.84x = 155,536,422,858.94
  5. Step 5: Solve for x
    x = 155,536,422,858.94/505,267.84
  6. Step 6: Final answer
    x = 307,829.65

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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.