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Finding the Fourth Proportional to 297,795.80, 415,981 and 297,795.80

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Solution

The fourth proportional to 297,795.80, 415,981 and 297,795.80 is: 415,981

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,795.80 : 415,981 = 297,795.80 : x
  2. Step 2: Convert to fraction form
    297,795.80/415,981 = 297,795.80/x
  3. Step 3: Cross multiply
    297,795.80x = 415,981 × 297,795.80
  4. Step 4: Simplify right side
    297,795.80x = 123,877,394,679.80
  5. Step 5: Solve for x
    x = 123,877,394,679.80/297,795.80
  6. Step 6: Final answer
    x = 415,981

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.