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Finding the Fourth Proportional to 340,674.89, 470,027.28 and 197,407.25

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Solution

The fourth proportional to 340,674.89, 470,027.28 and 197,407.25 is: 272,361.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,674.89 : 470,027.28 = 197,407.25 : x
  2. Step 2: Convert to fraction form
    340,674.89/470,027.28 = 197,407.25/x
  3. Step 3: Cross multiply
    340,674.89x = 470,027.28 × 197,407.25
  4. Step 4: Simplify right side
    340,674.89x = 92,786,792,769.78
  5. Step 5: Solve for x
    x = 92,786,792,769.78/340,674.89
  6. Step 6: Final answer
    x = 272,361.70

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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.