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Finding the Fourth Proportional to 297,705.84, 446,573.28 and 120,190.68

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Solution

The fourth proportional to 297,705.84, 446,573.28 and 120,190.68 is: 180,291.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,705.84 : 446,573.28 = 120,190.68 : x
  2. Step 2: Convert to fraction form
    297,705.84/446,573.28 = 120,190.68/x
  3. Step 3: Cross multiply
    297,705.84x = 446,573.28 × 120,190.68
  4. Step 4: Simplify right side
    297,705.84x = 53,673,946,193.03
  5. Step 5: Solve for x
    x = 53,673,946,193.03/297,705.84
  6. Step 6: Final answer
    x = 180,291.88

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