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Finding the Fourth Proportional to 340,626.84, 470,065.16 and 197,469.86

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Solution

The fourth proportional to 340,626.84, 470,065.16 and 197,469.86 is: 272,508.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,626.84 : 470,065.16 = 197,469.86 : x
  2. Step 2: Convert to fraction form
    340,626.84/470,065.16 = 197,469.86/x
  3. Step 3: Cross multiply
    340,626.84x = 470,065.16 × 197,469.86
  4. Step 4: Simplify right side
    340,626.84x = 92,823,701,336.08
  5. Step 5: Solve for x
    x = 92,823,701,336.08/340,626.84
  6. Step 6: Final answer
    x = 272,508.48

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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.