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Finding the Fourth Proportional to 283,915.20, 425,872.80 and 233,176.80

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Solution

The fourth proportional to 283,915.20, 425,872.80 and 233,176.80 is: 349,765.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,915.20 : 425,872.80 = 233,176.80 : x
  2. Step 2: Convert to fraction form
    283,915.20/425,872.80 = 233,176.80/x
  3. Step 3: Cross multiply
    283,915.20x = 425,872.80 × 233,176.80
  4. Step 4: Simplify right side
    283,915.20x = 99,303,656,711.04
  5. Step 5: Solve for x
    x = 99,303,656,711.04/283,915.20
  6. Step 6: Final answer
    x = 349,765.20

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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.