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Finding the Fourth Proportional to 489,069.17, 733,463.54 and 164,821.95

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Solution

The fourth proportional to 489,069.17, 733,463.54 and 164,821.95 is: 247,185.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,069.17 : 733,463.54 = 164,821.95 : x
  2. Step 2: Convert to fraction form
    489,069.17/733,463.54 = 164,821.95/x
  3. Step 3: Cross multiply
    489,069.17x = 733,463.54 × 164,821.95
  4. Step 4: Simplify right side
    489,069.17x = 120,890,890,092.59
  5. Step 5: Solve for x
    x = 120,890,890,092.59/489,069.17
  6. Step 6: Final answer
    x = 247,185.67

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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.