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Finding the Fourth Proportional to 366,394.49, 505,871.22 and 228,782.98

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Solution

The fourth proportional to 366,394.49, 505,871.22 and 228,782.98 is: 315,874.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,394.49 : 505,871.22 = 228,782.98 : x
  2. Step 2: Convert to fraction form
    366,394.49/505,871.22 = 228,782.98/x
  3. Step 3: Cross multiply
    366,394.49x = 505,871.22 × 228,782.98
  4. Step 4: Simplify right side
    366,394.49x = 115,734,726,698.11
  5. Step 5: Solve for x
    x = 115,734,726,698.11/366,394.49
  6. Step 6: Final answer
    x = 315,874.64

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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.