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Finding the Fourth Proportional to 298,603.75, 412,073.19 and 164,467.75

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Solution

The fourth proportional to 298,603.75, 412,073.19 and 164,467.75 is: 226,965.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,603.75 : 412,073.19 = 164,467.75 : x
  2. Step 2: Convert to fraction form
    298,603.75/412,073.19 = 164,467.75/x
  3. Step 3: Cross multiply
    298,603.75x = 412,073.19 × 164,467.75
  4. Step 4: Simplify right side
    298,603.75x = 67,772,750,394.62
  5. Step 5: Solve for x
    x = 67,772,750,394.62/298,603.75
  6. Step 6: Final answer
    x = 226,965.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.