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Finding the Fourth Proportional to 297,822, 446,733 and 76,206

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Solution

The fourth proportional to 297,822, 446,733 and 76,206 is: 114,309

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,822 : 446,733 = 76,206 : x
  2. Step 2: Convert to fraction form
    297,822/446,733 = 76,206/x
  3. Step 3: Cross multiply
    297,822x = 446,733 × 76,206
  4. Step 4: Simplify right side
    297,822x = 34,043,734,998
  5. Step 5: Solve for x
    x = 34,043,734,998/297,822
  6. Step 6: Final answer
    x = 114,309

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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.