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Finding the Fourth Proportional to 650,850.45, 976,905.38 and 314,128.14

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Solution

The fourth proportional to 650,850.45, 976,905.38 and 314,128.14 is: 471,496.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,850.45 : 976,905.38 = 314,128.14 : x
  2. Step 2: Convert to fraction form
    650,850.45/976,905.38 = 314,128.14/x
  3. Step 3: Cross multiply
    650,850.45x = 976,905.38 × 314,128.14
  4. Step 4: Simplify right side
    650,850.45x = 306,873,469,975.39
  5. Step 5: Solve for x
    x = 306,873,469,975.39/650,850.45
  6. Step 6: Final answer
    x = 471,496.13

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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.