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Finding the Fourth Proportional to 340,951.56, 470,408.82 and 197,683.01

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Solution

The fourth proportional to 340,951.56, 470,408.82 and 197,683.01 is: 272,742.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,951.56 : 470,408.82 = 197,683.01 : x
  2. Step 2: Convert to fraction form
    340,951.56/470,408.82 = 197,683.01/x
  3. Step 3: Cross multiply
    340,951.56x = 470,408.82 × 197,683.01
  4. Step 4: Simplify right side
    340,951.56x = 92,991,832,784.88
  5. Step 5: Solve for x
    x = 92,991,832,784.88/340,951.56
  6. Step 6: Final answer
    x = 272,742.06

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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.