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Finding the Fourth Proportional to 468,196.24, 646,064.04 and 264,227.44

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Solution

The fourth proportional to 468,196.24, 646,064.04 and 264,227.44 is: 364,607.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,196.24 : 646,064.04 = 264,227.44 : x
  2. Step 2: Convert to fraction form
    468,196.24/646,064.04 = 264,227.44/x
  3. Step 3: Cross multiply
    468,196.24x = 646,064.04 × 264,227.44
  4. Step 4: Simplify right side
    468,196.24x = 170,707,847,365.26
  5. Step 5: Solve for x
    x = 170,707,847,365.26/468,196.24
  6. Step 6: Final answer
    x = 364,607.47

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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.