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Finding the Fourth Proportional to 519,484.89, 779,249.61 and 204,010.14

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Solution

The fourth proportional to 519,484.89, 779,249.61 and 204,010.14 is: 306,023.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,484.89 : 779,249.61 = 204,010.14 : x
  2. Step 2: Convert to fraction form
    519,484.89/779,249.61 = 204,010.14/x
  3. Step 3: Cross multiply
    519,484.89x = 779,249.61 × 204,010.14
  4. Step 4: Simplify right side
    519,484.89x = 158,974,822,031.05
  5. Step 5: Solve for x
    x = 158,974,822,031.05/519,484.89
  6. Step 6: Final answer
    x = 306,023.96

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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.