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Finding the Fourth Proportional to 221,709.80, 332,564.70 and 209,462.60

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Solution

The fourth proportional to 221,709.80, 332,564.70 and 209,462.60 is: 314,193.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,709.80 : 332,564.70 = 209,462.60 : x
  2. Step 2: Convert to fraction form
    221,709.80/332,564.70 = 209,462.60/x
  3. Step 3: Cross multiply
    221,709.80x = 332,564.70 × 209,462.60
  4. Step 4: Simplify right side
    221,709.80x = 69,659,866,730.22
  5. Step 5: Solve for x
    x = 69,659,866,730.22/221,709.80
  6. Step 6: Final answer
    x = 314,193.90

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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.