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Finding the Fourth Proportional to 465,678, 642,636.48 and 264,474

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Solution

The fourth proportional to 465,678, 642,636.48 and 264,474 is: 364,974.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,678 : 642,636.48 = 264,474 : x
  2. Step 2: Convert to fraction form
    465,678/642,636.48 = 264,474/x
  3. Step 3: Cross multiply
    465,678x = 642,636.48 × 264,474
  4. Step 4: Simplify right side
    465,678x = 169,960,640,411.52
  5. Step 5: Solve for x
    x = 169,960,640,411.52/465,678
  6. Step 6: Final answer
    x = 364,974.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.