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Finding the Fourth Proportional to 771,158.24, 1,064,198.07 and 431,626.49

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Solution

The fourth proportional to 771,158.24, 1,064,198.07 and 431,626.49 is: 595,644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,158.24 : 1,064,198.07 = 431,626.49 : x
  2. Step 2: Convert to fraction form
    771,158.24/1,064,198.07 = 431,626.49/x
  3. Step 3: Cross multiply
    771,158.24x = 1,064,198.07 × 431,626.49
  4. Step 4: Simplify right side
    771,158.24x = 459,336,072,297.88
  5. Step 5: Solve for x
    x = 459,336,072,297.88/771,158.24
  6. Step 6: Final answer
    x = 595,644.38

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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.