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Finding the Fourth Proportional to 366,205.50, 505,321.05 and 213,277.11

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Solution

The fourth proportional to 366,205.50, 505,321.05 and 213,277.11 is: 294,297.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,205.50 : 505,321.05 = 213,277.11 : x
  2. Step 2: Convert to fraction form
    366,205.50/505,321.05 = 213,277.11/x
  3. Step 3: Cross multiply
    366,205.50x = 505,321.05 × 213,277.11
  4. Step 4: Simplify right side
    366,205.50x = 107,773,413,166.17
  5. Step 5: Solve for x
    x = 107,773,413,166.17/366,205.50
  6. Step 6: Final answer
    x = 294,297.64

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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.