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Finding the Fourth Proportional to 808,638.40, 1,213,832.40 and 509,456.80

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Solution

The fourth proportional to 808,638.40, 1,213,832.40 and 509,456.80 is: 764,736.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,638.40 : 1,213,832.40 = 509,456.80 : x
  2. Step 2: Convert to fraction form
    808,638.40/1,213,832.40 = 509,456.80/x
  3. Step 3: Cross multiply
    808,638.40x = 1,213,832.40 × 509,456.80
  4. Step 4: Simplify right side
    808,638.40x = 618,395,170,240.32
  5. Step 5: Solve for x
    x = 618,395,170,240.32/808,638.40
  6. Step 6: Final answer
    x = 764,736.34

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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.