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Finding the Fourth Proportional to 298,381, 447,571.50 and 101,389

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Solution

The fourth proportional to 298,381, 447,571.50 and 101,389 is: 152,083.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,381 : 447,571.50 = 101,389 : x
  2. Step 2: Convert to fraction form
    298,381/447,571.50 = 101,389/x
  3. Step 3: Cross multiply
    298,381x = 447,571.50 × 101,389
  4. Step 4: Simplify right side
    298,381x = 45,378,826,813.50
  5. Step 5: Solve for x
    x = 45,378,826,813.50/298,381
  6. Step 6: Final answer
    x = 152,083.50

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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.