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Finding the Fourth Proportional to 281,492.67, 421,179.60 and 197,416.95

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Solution

The fourth proportional to 281,492.67, 421,179.60 and 197,416.95 is: 295,382.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,492.67 : 421,179.60 = 197,416.95 : x
  2. Step 2: Convert to fraction form
    281,492.67/421,179.60 = 197,416.95/x
  3. Step 3: Cross multiply
    281,492.67x = 421,179.60 × 197,416.95
  4. Step 4: Simplify right side
    281,492.67x = 83,147,992,034.22
  5. Step 5: Solve for x
    x = 83,147,992,034.22/281,492.67
  6. Step 6: Final answer
    x = 295,382.44

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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.