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Finding the Fourth Proportional to 297,074.98, 409,973.97 and 212,394.34

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Solution

The fourth proportional to 297,074.98, 409,973.97 and 212,394.34 is: 293,111.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,074.98 : 409,973.97 = 212,394.34 : x
  2. Step 2: Convert to fraction form
    297,074.98/409,973.97 = 212,394.34/x
  3. Step 3: Cross multiply
    297,074.98x = 409,973.97 × 212,394.34
  4. Step 4: Simplify right side
    297,074.98x = 87,076,150,775.33
  5. Step 5: Solve for x
    x = 87,076,150,775.33/297,074.98
  6. Step 6: Final answer
    x = 293,111.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.