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Finding the Fourth Proportional to 304,290.24, 419,779.12 and 196,894.88

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Solution

The fourth proportional to 304,290.24, 419,779.12 and 196,894.88 is: 271,623.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,290.24 : 419,779.12 = 196,894.88 : x
  2. Step 2: Convert to fraction form
    304,290.24/419,779.12 = 196,894.88/x
  3. Step 3: Cross multiply
    304,290.24x = 419,779.12 × 196,894.88
  4. Step 4: Simplify right side
    304,290.24x = 82,652,359,458.91
  5. Step 5: Solve for x
    x = 82,652,359,458.91/304,290.24
  6. Step 6: Final answer
    x = 271,623.43

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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.