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Finding the Fourth Proportional to 309,809.20, 427,809.34 and 193,721.62

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Solution

The fourth proportional to 309,809.20, 427,809.34 and 193,721.62 is: 267,506.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,809.20 : 427,809.34 = 193,721.62 : x
  2. Step 2: Convert to fraction form
    309,809.20/427,809.34 = 193,721.62/x
  3. Step 3: Cross multiply
    309,809.20x = 427,809.34 × 193,721.62
  4. Step 4: Simplify right side
    309,809.20x = 82,875,918,395.93
  5. Step 5: Solve for x
    x = 82,875,918,395.93/309,809.20
  6. Step 6: Final answer
    x = 267,506.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.