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Finding the Fourth Proportional to 777,847, 1,166,967.33 and 216,881.50

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Solution

The fourth proportional to 777,847, 1,166,967.33 and 216,881.50 is: 325,377.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,847 : 1,166,967.33 = 216,881.50 : x
  2. Step 2: Convert to fraction form
    777,847/1,166,967.33 = 216,881.50/x
  3. Step 3: Cross multiply
    777,847x = 1,166,967.33 × 216,881.50
  4. Step 4: Simplify right side
    777,847x = 253,093,624,981.40
  5. Step 5: Solve for x
    x = 253,093,624,981.40/777,847
  6. Step 6: Final answer
    x = 325,377.13

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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.