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Finding the Fourth Proportional to 650,844.96, 976,362.48 and 201,606

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Solution

The fourth proportional to 650,844.96, 976,362.48 and 201,606 is: 302,438.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,844.96 : 976,362.48 = 201,606 : x
  2. Step 2: Convert to fraction form
    650,844.96/976,362.48 = 201,606/x
  3. Step 3: Cross multiply
    650,844.96x = 976,362.48 × 201,606
  4. Step 4: Simplify right side
    650,844.96x = 196,840,534,142.88
  5. Step 5: Solve for x
    x = 196,840,534,142.88/650,844.96
  6. Step 6: Final answer
    x = 302,438.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.