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Finding the Fourth Proportional to 298,008.12, 447,449.58 and 186,164.94

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Solution

The fourth proportional to 298,008.12, 447,449.58 and 186,164.94 is: 279,520.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,008.12 : 447,449.58 = 186,164.94 : x
  2. Step 2: Convert to fraction form
    298,008.12/447,449.58 = 186,164.94/x
  3. Step 3: Cross multiply
    298,008.12x = 447,449.58 × 186,164.94
  4. Step 4: Simplify right side
    298,008.12x = 83,299,424,213.73
  5. Step 5: Solve for x
    x = 83,299,424,213.73/298,008.12
  6. Step 6: Final answer
    x = 279,520.65

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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.