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Finding the Fourth Proportional to 382,700.37, 573,230.43 and 311,284.02

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Solution

The fourth proportional to 382,700.37, 573,230.43 and 311,284.02 is: 466,258.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,700.37 : 573,230.43 = 311,284.02 : x
  2. Step 2: Convert to fraction form
    382,700.37/573,230.43 = 311,284.02/x
  3. Step 3: Cross multiply
    382,700.37x = 573,230.43 × 311,284.02
  4. Step 4: Simplify right side
    382,700.37x = 178,437,472,636.73
  5. Step 5: Solve for x
    x = 178,437,472,636.73/382,700.37
  6. Step 6: Final answer
    x = 466,258.95

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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.