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Finding the Fourth Proportional to 297,094.92, 445,716.18 and 147,405.48

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Solution

The fourth proportional to 297,094.92, 445,716.18 and 147,405.48 is: 221,144.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,094.92 : 445,716.18 = 147,405.48 : x
  2. Step 2: Convert to fraction form
    297,094.92/445,716.18 = 147,405.48/x
  3. Step 3: Cross multiply
    297,094.92x = 445,716.18 × 147,405.48
  4. Step 4: Simplify right side
    297,094.92x = 65,701,007,456.67
  5. Step 5: Solve for x
    x = 65,701,007,456.67/297,094.92
  6. Step 6: Final answer
    x = 221,144.84

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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.