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Finding the Fourth Proportional to 568,102.14, 783,977.96 and 309,979.02

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Solution

The fourth proportional to 568,102.14, 783,977.96 and 309,979.02 is: 427,769.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,102.14 : 783,977.96 = 309,979.02 : x
  2. Step 2: Convert to fraction form
    568,102.14/783,977.96 = 309,979.02/x
  3. Step 3: Cross multiply
    568,102.14x = 783,977.96 × 309,979.02
  4. Step 4: Simplify right side
    568,102.14x = 243,016,719,742.40
  5. Step 5: Solve for x
    x = 243,016,719,742.40/568,102.14
  6. Step 6: Final answer
    x = 427,769.41

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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.