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Finding the Fourth Proportional to 304,322.11, 419,889.06 and 196,762.72

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Solution

The fourth proportional to 304,322.11, 419,889.06 and 196,762.72 is: 271,483.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,322.11 : 419,889.06 = 196,762.72 : x
  2. Step 2: Convert to fraction form
    304,322.11/419,889.06 = 196,762.72/x
  3. Step 3: Cross multiply
    304,322.11x = 419,889.06 × 196,762.72
  4. Step 4: Simplify right side
    304,322.11x = 82,618,514,035.75
  5. Step 5: Solve for x
    x = 82,618,514,035.75/304,322.11
  6. Step 6: Final answer
    x = 271,483.77

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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.