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Finding the Fourth Proportional to 298,009.12, 447,451.08 and 186,165.94

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Solution

The fourth proportional to 298,009.12, 447,451.08 and 186,165.94 is: 279,522.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,009.12 : 447,451.08 = 186,165.94 : x
  2. Step 2: Convert to fraction form
    298,009.12/447,451.08 = 186,165.94/x
  3. Step 3: Cross multiply
    298,009.12x = 447,451.08 × 186,165.94
  4. Step 4: Simplify right side
    298,009.12x = 83,300,150,912.22
  5. Step 5: Solve for x
    x = 83,300,150,912.22/298,009.12
  6. Step 6: Final answer
    x = 279,522.15

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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.