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Finding the Fourth Proportional to 311,154.72, 466,846.88 and 251,733.84

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Solution

The fourth proportional to 311,154.72, 466,846.88 and 251,733.84 is: 377,693.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,154.72 : 466,846.88 = 251,733.84 : x
  2. Step 2: Convert to fraction form
    311,154.72/466,846.88 = 251,733.84/x
  3. Step 3: Cross multiply
    311,154.72x = 466,846.88 × 251,733.84
  4. Step 4: Simplify right side
    311,154.72x = 117,521,157,794.42
  5. Step 5: Solve for x
    x = 117,521,157,794.42/311,154.72
  6. Step 6: Final answer
    x = 377,693.64

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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.