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Finding the Fourth Proportional to 304,182, 456,273 and 82,566

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Solution

The fourth proportional to 304,182, 456,273 and 82,566 is: 123,849

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,182 : 456,273 = 82,566 : x
  2. Step 2: Convert to fraction form
    304,182/456,273 = 82,566/x
  3. Step 3: Cross multiply
    304,182x = 456,273 × 82,566
  4. Step 4: Simplify right side
    304,182x = 37,672,636,518
  5. Step 5: Solve for x
    x = 37,672,636,518/304,182
  6. Step 6: Final answer
    x = 123,849

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.