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Finding the Fourth Proportional to 1,414,430.46, 1,951,922.16 and 769,849.14

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Solution

The fourth proportional to 1,414,430.46, 1,951,922.16 and 769,849.14 is: 1,062,396.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414,430.46 : 1,951,922.16 = 769,849.14 : x
  2. Step 2: Convert to fraction form
    1,414,430.46/1,951,922.16 = 769,849.14/x
  3. Step 3: Cross multiply
    1,414,430.46x = 1,951,922.16 × 769,849.14
  4. Step 4: Simplify right side
    1,414,430.46x = 1,502,685,596,222.94
  5. Step 5: Solve for x
    x = 1,502,685,596,222.94/1,414,430.46
  6. Step 6: Final answer
    x = 1,062,396.24

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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.