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Finding the Fourth Proportional to 383,265.64, 574,374.30 and 195,884.20

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Solution

The fourth proportional to 383,265.64, 574,374.30 and 195,884.20 is: 293,558.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,265.64 : 574,374.30 = 195,884.20 : x
  2. Step 2: Convert to fraction form
    383,265.64/574,374.30 = 195,884.20/x
  3. Step 3: Cross multiply
    383,265.64x = 574,374.30 × 195,884.20
  4. Step 4: Simplify right side
    383,265.64x = 112,510,850,256.06
  5. Step 5: Solve for x
    x = 112,510,850,256.06/383,265.64
  6. Step 6: Final answer
    x = 293,558.41

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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.