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Finding the Fourth Proportional to 298,983.48, 412,363.62 and 191,563.98

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Solution

The fourth proportional to 298,983.48, 412,363.62 and 191,563.98 is: 264,208.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,983.48 : 412,363.62 = 191,563.98 : x
  2. Step 2: Convert to fraction form
    298,983.48/412,363.62 = 191,563.98/x
  3. Step 3: Cross multiply
    298,983.48x = 412,363.62 × 191,563.98
  4. Step 4: Simplify right side
    298,983.48x = 78,994,016,254.41
  5. Step 5: Solve for x
    x = 78,994,016,254.41/298,983.48
  6. Step 6: Final answer
    x = 264,208.63

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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.