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Finding the Fourth Proportional to 650,777.20, 976,075.80 and 201,806.80

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Solution

The fourth proportional to 650,777.20, 976,075.80 and 201,806.80 is: 302,682.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,777.20 : 976,075.80 = 201,806.80 : x
  2. Step 2: Convert to fraction form
    650,777.20/976,075.80 = 201,806.80/x
  3. Step 3: Cross multiply
    650,777.20x = 976,075.80 × 201,806.80
  4. Step 4: Simplify right side
    650,777.20x = 196,978,733,755.44
  5. Step 5: Solve for x
    x = 196,978,733,755.44/650,777.20
  6. Step 6: Final answer
    x = 302,682.29

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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.