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Finding the Fourth Proportional to 304,298.34, 419,790.20 and 196,903.04

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Solution

The fourth proportional to 304,298.34, 419,790.20 and 196,903.04 is: 271,634.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,298.34 : 419,790.20 = 196,903.04 : x
  2. Step 2: Convert to fraction form
    304,298.34/419,790.20 = 196,903.04/x
  3. Step 3: Cross multiply
    304,298.34x = 419,790.20 × 196,903.04
  4. Step 4: Simplify right side
    304,298.34x = 82,657,966,542.21
  5. Step 5: Solve for x
    x = 82,657,966,542.21/304,298.34
  6. Step 6: Final answer
    x = 271,634.63

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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.