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Finding the Fourth Proportional to 468,194.24, 646,061.28 and 264,225.44

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Solution

The fourth proportional to 468,194.24, 646,061.28 and 264,225.44 is: 364,604.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,194.24 : 646,061.28 = 264,225.44 : x
  2. Step 2: Convert to fraction form
    468,194.24/646,061.28 = 264,225.44/x
  3. Step 3: Cross multiply
    468,194.24x = 646,061.28 × 264,225.44
  4. Step 4: Simplify right side
    468,194.24x = 170,705,825,974.96
  5. Step 5: Solve for x
    x = 170,705,825,974.96/468,194.24
  6. Step 6: Final answer
    x = 364,604.71

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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.