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Finding the Fourth Proportional to 402,202.30, 603,294.22 and 202,469.06

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Solution

The fourth proportional to 402,202.30, 603,294.22 and 202,469.06 is: 303,698.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,202.30 : 603,294.22 = 202,469.06 : x
  2. Step 2: Convert to fraction form
    402,202.30/603,294.22 = 202,469.06/x
  3. Step 3: Cross multiply
    402,202.30x = 603,294.22 × 202,469.06
  4. Step 4: Simplify right side
    402,202.30x = 122,148,413,626.83
  5. Step 5: Solve for x
    x = 122,148,413,626.83/402,202.30
  6. Step 6: Final answer
    x = 303,698.94

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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.