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Finding the Fourth Proportional to 366,266.36, 505,389.84 and 213,329.72

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Solution

The fourth proportional to 366,266.36, 505,389.84 and 213,329.72 is: 294,361.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,266.36 : 505,389.84 = 213,329.72 : x
  2. Step 2: Convert to fraction form
    366,266.36/505,389.84 = 213,329.72/x
  3. Step 3: Cross multiply
    366,266.36x = 505,389.84 × 213,329.72
  4. Step 4: Simplify right side
    366,266.36x = 107,814,673,058.05
  5. Step 5: Solve for x
    x = 107,814,673,058.05/366,266.36
  6. Step 6: Final answer
    x = 294,361.39

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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.