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Finding the Fourth Proportional to 350,664, 483,916.32 and 199,761

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Solution

The fourth proportional to 350,664, 483,916.32 and 199,761 is: 275,670.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,664 : 483,916.32 = 199,761 : x
  2. Step 2: Convert to fraction form
    350,664/483,916.32 = 199,761/x
  3. Step 3: Cross multiply
    350,664x = 483,916.32 × 199,761
  4. Step 4: Simplify right side
    350,664x = 96,667,607,999.52
  5. Step 5: Solve for x
    x = 96,667,607,999.52/350,664
  6. Step 6: Final answer
    x = 275,670.18

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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.