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Finding the Fourth Proportional to 304,210.68, 419,671.08 and 196,815.30

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Solution

The fourth proportional to 304,210.68, 419,671.08 and 196,815.30 is: 271,514.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,210.68 : 419,671.08 = 196,815.30 : x
  2. Step 2: Convert to fraction form
    304,210.68/419,671.08 = 196,815.30/x
  3. Step 3: Cross multiply
    304,210.68x = 419,671.08 × 196,815.30
  4. Step 4: Simplify right side
    304,210.68x = 82,597,689,511.52
  5. Step 5: Solve for x
    x = 82,597,689,511.52/304,210.68
  6. Step 6: Final answer
    x = 271,514.76

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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.