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Finding the Fourth Proportional to 383,264.64, 574,372.80 and 195,883.20

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Solution

The fourth proportional to 383,264.64, 574,372.80 and 195,883.20 is: 293,556.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,264.64 : 574,372.80 = 195,883.20 : x
  2. Step 2: Convert to fraction form
    383,264.64/574,372.80 = 195,883.20/x
  3. Step 3: Cross multiply
    383,264.64x = 574,372.80 × 195,883.20
  4. Step 4: Simplify right side
    383,264.64x = 112,509,982,056.96
  5. Step 5: Solve for x
    x = 112,509,982,056.96/383,264.64
  6. Step 6: Final answer
    x = 293,556.91

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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.