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Finding the Fourth Proportional to 1,381,306.19, 1,905,949.49 and 769,443.72

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Solution

The fourth proportional to 1,381,306.19, 1,905,949.49 and 769,443.72 is: 1,061,691.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381,306.19 : 1,905,949.49 = 769,443.72 : x
  2. Step 2: Convert to fraction form
    1,381,306.19/1,905,949.49 = 769,443.72/x
  3. Step 3: Cross multiply
    1,381,306.19x = 1,905,949.49 × 769,443.72
  4. Step 4: Simplify right side
    1,381,306.19x = 1,466,520,863,794.09
  5. Step 5: Solve for x
    x = 1,466,520,863,794.09/1,381,306.19
  6. Step 6: Final answer
    x = 1,061,691.38

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Why These Related Problems?

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