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Finding the Fourth Proportional to 354,136.40, 531,204.60 and 228,165.20

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Solution

The fourth proportional to 354,136.40, 531,204.60 and 228,165.20 is: 342,247.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,136.40 : 531,204.60 = 228,165.20 : x
  2. Step 2: Convert to fraction form
    354,136.40/531,204.60 = 228,165.20/x
  3. Step 3: Cross multiply
    354,136.40x = 531,204.60 × 228,165.20
  4. Step 4: Simplify right side
    354,136.40x = 121,202,403,799.92
  5. Step 5: Solve for x
    x = 121,202,403,799.92/354,136.40
  6. Step 6: Final answer
    x = 342,247.80

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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.