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Finding the Fourth Proportional to 311,872.30, 466,824.30 and 302,030.80

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Solution

The fourth proportional to 311,872.30, 466,824.30 and 302,030.80 is: 452,093.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,872.30 : 466,824.30 = 302,030.80 : x
  2. Step 2: Convert to fraction form
    311,872.30/466,824.30 = 302,030.80/x
  3. Step 3: Cross multiply
    311,872.30x = 466,824.30 × 302,030.80
  4. Step 4: Simplify right side
    311,872.30x = 140,995,316,788.44
  5. Step 5: Solve for x
    x = 140,995,316,788.44/311,872.30
  6. Step 6: Final answer
    x = 452,093.11

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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.