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Finding the Fourth Proportional to 320,418.20, 480,108.90 and 201,877.40

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Solution

The fourth proportional to 320,418.20, 480,108.90 and 201,877.40 is: 302,489.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,418.20 : 480,108.90 = 201,877.40 : x
  2. Step 2: Convert to fraction form
    320,418.20/480,108.90 = 201,877.40/x
  3. Step 3: Cross multiply
    320,418.20x = 480,108.90 × 201,877.40
  4. Step 4: Simplify right side
    320,418.20x = 96,923,136,448.86
  5. Step 5: Solve for x
    x = 96,923,136,448.86/320,418.20
  6. Step 6: Final answer
    x = 302,489.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.