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Finding the Fourth Proportional to 264,476.40, 397,103.40 and 185,938.80

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Solution

The fourth proportional to 264,476.40, 397,103.40 and 185,938.80 is: 279,181.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,476.40 : 397,103.40 = 185,938.80 : x
  2. Step 2: Convert to fraction form
    264,476.40/397,103.40 = 185,938.80/x
  3. Step 3: Cross multiply
    264,476.40x = 397,103.40 × 185,938.80
  4. Step 4: Simplify right side
    264,476.40x = 73,836,929,671.92
  5. Step 5: Solve for x
    x = 73,836,929,671.92/264,476.40
  6. Step 6: Final answer
    x = 279,181.54

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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.