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Finding the Fourth Proportional to 219,009.30, 329,205.15 and 206,567.70

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Solution

The fourth proportional to 219,009.30, 329,205.15 and 206,567.70 is: 310,503.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,009.30 : 329,205.15 = 206,567.70 : x
  2. Step 2: Convert to fraction form
    219,009.30/329,205.15 = 206,567.70/x
  3. Step 3: Cross multiply
    219,009.30x = 329,205.15 × 206,567.70
  4. Step 4: Simplify right side
    219,009.30x = 68,003,150,663.66
  5. Step 5: Solve for x
    x = 68,003,150,663.66/219,009.30
  6. Step 6: Final answer
    x = 310,503.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.