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Finding the Fourth Proportional to 304,024.86, 419,452.02 and 196,730.64

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Solution

The fourth proportional to 304,024.86, 419,452.02 and 196,730.64 is: 271,422.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,024.86 : 419,452.02 = 196,730.64 : x
  2. Step 2: Convert to fraction form
    304,024.86/419,452.02 = 196,730.64/x
  3. Step 3: Cross multiply
    304,024.86x = 419,452.02 × 196,730.64
  4. Step 4: Simplify right side
    304,024.86x = 82,519,064,343.89
  5. Step 5: Solve for x
    x = 82,519,064,343.89/304,024.86
  6. Step 6: Final answer
    x = 271,422.09

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1.5x scale

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.