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Finding the Fourth Proportional to 504,647, 756,970.62 and 205,290.44

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Solution

The fourth proportional to 504,647, 756,970.62 and 205,290.44 is: 307,935.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,647 : 756,970.62 = 205,290.44 : x
  2. Step 2: Convert to fraction form
    504,647/756,970.62 = 205,290.44/x
  3. Step 3: Cross multiply
    504,647x = 756,970.62 × 205,290.44
  4. Step 4: Simplify right side
    504,647x = 155,398,831,646.87
  5. Step 5: Solve for x
    x = 155,398,831,646.87/504,647
  6. Step 6: Final answer
    x = 307,935.71

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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.