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Finding the Fourth Proportional to 418,864.25, 627,858.89 and 205,336.50

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Solution

The fourth proportional to 418,864.25, 627,858.89 and 205,336.50 is: 307,790.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,864.25 : 627,858.89 = 205,336.50 : x
  2. Step 2: Convert to fraction form
    418,864.25/627,858.89 = 205,336.50/x
  3. Step 3: Cross multiply
    418,864.25x = 627,858.89 × 205,336.50
  4. Step 4: Simplify right side
    418,864.25x = 128,922,345,939.80
  5. Step 5: Solve for x
    x = 128,922,345,939.80/418,864.25
  6. Step 6: Final answer
    x = 307,790.29

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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.