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Finding the Fourth Proportional to 340,995.74, 470,576.15 and 197,841.02

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Solution

The fourth proportional to 340,995.74, 470,576.15 and 197,841.02 is: 273,021.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,995.74 : 470,576.15 = 197,841.02 : x
  2. Step 2: Convert to fraction form
    340,995.74/470,576.15 = 197,841.02/x
  3. Step 3: Cross multiply
    340,995.74x = 470,576.15 × 197,841.02
  4. Step 4: Simplify right side
    340,995.74x = 93,099,265,503.67
  5. Step 5: Solve for x
    x = 93,099,265,503.67/340,995.74
  6. Step 6: Final answer
    x = 273,021.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.