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Finding the Fourth Proportional to 564,249.30, 846,371.08 and 199,781.29

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Solution

The fourth proportional to 564,249.30, 846,371.08 and 199,781.29 is: 299,670.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,249.30 : 846,371.08 = 199,781.29 : x
  2. Step 2: Convert to fraction form
    564,249.30/846,371.08 = 199,781.29/x
  3. Step 3: Cross multiply
    564,249.30x = 846,371.08 × 199,781.29
  4. Step 4: Simplify right side
    564,249.30x = 169,089,106,181.09
  5. Step 5: Solve for x
    x = 169,089,106,181.09/564,249.30
  6. Step 6: Final answer
    x = 299,670.92

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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.