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Finding the Fourth Proportional to 799,106, 1,198,834.14 and 300,470

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Solution

The fourth proportional to 799,106, 1,198,834.14 and 300,470 is: 450,770.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    799,106 : 1,198,834.14 = 300,470 : x
  2. Step 2: Convert to fraction form
    799,106/1,198,834.14 = 300,470/x
  3. Step 3: Cross multiply
    799,106x = 1,198,834.14 × 300,470
  4. Step 4: Simplify right side
    799,106x = 360,213,694,045.80
  5. Step 5: Solve for x
    x = 360,213,694,045.80/799,106
  6. Step 6: Final answer
    x = 450,770.85

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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.