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Finding the Fourth Proportional to 341,221.44, 470,812.60 and 196,045.01

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Solution

The fourth proportional to 341,221.44, 470,812.60 and 196,045.01 is: 270,500.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,221.44 : 470,812.60 = 196,045.01 : x
  2. Step 2: Convert to fraction form
    341,221.44/470,812.60 = 196,045.01/x
  3. Step 3: Cross multiply
    341,221.44x = 470,812.60 × 196,045.01
  4. Step 4: Simplify right side
    341,221.44x = 92,300,460,531.67
  5. Step 5: Solve for x
    x = 92,300,460,531.67/341,221.44
  6. Step 6: Final answer
    x = 270,500.18

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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.