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Finding the Fourth Proportional to 311,423.34, 467,135 and 74,766.02

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Solution

The fourth proportional to 311,423.34, 467,135 and 74,766.02 is: 112,149.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,423.34 : 467,135 = 74,766.02 : x
  2. Step 2: Convert to fraction form
    311,423.34/467,135 = 74,766.02/x
  3. Step 3: Cross multiply
    311,423.34x = 467,135 × 74,766.02
  4. Step 4: Simplify right side
    311,423.34x = 34,925,824,752.70
  5. Step 5: Solve for x
    x = 34,925,824,752.70/311,423.34
  6. Step 6: Final answer
    x = 112,149.03

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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.