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Finding the Fourth Proportional to 519,821, 717,353.16 and 293,481.08

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Solution

The fourth proportional to 519,821, 717,353.16 and 293,481.08 is: 405,003.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,821 : 717,353.16 = 293,481.08 : x
  2. Step 2: Convert to fraction form
    519,821/717,353.16 = 293,481.08/x
  3. Step 3: Cross multiply
    519,821x = 717,353.16 × 293,481.08
  4. Step 4: Simplify right side
    519,821x = 210,529,580,138.21
  5. Step 5: Solve for x
    x = 210,529,580,138.21/519,821
  6. Step 6: Final answer
    x = 405,003.99

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Why These Related Problems?

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