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Finding the Fourth Proportional to 340,803.22, 470,232.66 and 195,600.10

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Solution

The fourth proportional to 340,803.22, 470,232.66 and 195,600.10 is: 269,884.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,803.22 : 470,232.66 = 195,600.10 : x
  2. Step 2: Convert to fraction form
    340,803.22/470,232.66 = 195,600.10/x
  3. Step 3: Cross multiply
    340,803.22x = 470,232.66 × 195,600.10
  4. Step 4: Simplify right side
    340,803.22x = 91,977,555,319.27
  5. Step 5: Solve for x
    x = 91,977,555,319.27/340,803.22
  6. Step 6: Final answer
    x = 269,884.64

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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.