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Finding the Fourth Proportional to 769,238.38, 1,061,546.32 and 425,064.72

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Solution

The fourth proportional to 769,238.38, 1,061,546.32 and 425,064.72 is: 586,587.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,238.38 : 1,061,546.32 = 425,064.72 : x
  2. Step 2: Convert to fraction form
    769,238.38/1,061,546.32 = 425,064.72/x
  3. Step 3: Cross multiply
    769,238.38x = 1,061,546.32 × 425,064.72
  4. Step 4: Simplify right side
    769,238.38x = 451,225,889,277.83
  5. Step 5: Solve for x
    x = 451,225,889,277.83/769,238.38
  6. Step 6: Final answer
    x = 586,587.85

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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.