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Finding the Fourth Proportional to 298,857.40, 447,767.70 and 193,622.20

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Solution

The fourth proportional to 298,857.40, 447,767.70 and 193,622.20 is: 290,097.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,857.40 : 447,767.70 = 193,622.20 : x
  2. Step 2: Convert to fraction form
    298,857.40/447,767.70 = 193,622.20/x
  3. Step 3: Cross multiply
    298,857.40x = 447,767.70 × 193,622.20
  4. Step 4: Simplify right side
    298,857.40x = 86,697,767,162.94
  5. Step 5: Solve for x
    x = 86,697,767,162.94/298,857.40
  6. Step 6: Final answer
    x = 290,097.44

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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.