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Finding the Fourth Proportional to 1,381,051.63, 1,905,845.34 and 769,211.65

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Solution

The fourth proportional to 1,381,051.63, 1,905,845.34 and 769,211.65 is: 1,061,508.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381,051.63 : 1,905,845.34 = 769,211.65 : x
  2. Step 2: Convert to fraction form
    1,381,051.63/1,905,845.34 = 769,211.65/x
  3. Step 3: Cross multiply
    1,381,051.63x = 1,905,845.34 × 769,211.65
  4. Step 4: Simplify right side
    1,381,051.63x = 1,465,998,438,626.21
  5. Step 5: Solve for x
    x = 1,465,998,438,626.21/1,381,051.63
  6. Step 6: Final answer
    x = 1,061,508.79

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