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Finding the Fourth Proportional to 341,198, 470,853.24 and 190,295.12

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Solution

The fourth proportional to 341,198, 470,853.24 and 190,295.12 is: 262,607.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,198 : 470,853.24 = 190,295.12 : x
  2. Step 2: Convert to fraction form
    341,198/470,853.24 = 190,295.12/x
  3. Step 3: Cross multiply
    341,198x = 470,853.24 × 190,295.12
  4. Step 4: Simplify right side
    341,198x = 89,601,073,808.19
  5. Step 5: Solve for x
    x = 89,601,073,808.19/341,198
  6. Step 6: Final answer
    x = 262,607.27

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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.