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Finding the Fourth Proportional to 549,219.53, 823,960.81 and 229,193.37

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Solution

The fourth proportional to 549,219.53, 823,960.81 and 229,193.37 is: 343,844.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,219.53 : 823,960.81 = 229,193.37 : x
  2. Step 2: Convert to fraction form
    549,219.53/823,960.81 = 229,193.37/x
  3. Step 3: Cross multiply
    549,219.53x = 823,960.81 × 229,193.37
  4. Step 4: Simplify right side
    549,219.53x = 188,846,354,791.83
  5. Step 5: Solve for x
    x = 188,846,354,791.83/549,219.53
  6. Step 6: Final answer
    x = 343,844.94

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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.