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Finding the Fourth Proportional to 394,052.79, 590,708.87 and 297,842.88

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Solution

The fourth proportional to 394,052.79, 590,708.87 and 297,842.88 is: 446,484.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,052.79 : 590,708.87 = 297,842.88 : x
  2. Step 2: Convert to fraction form
    394,052.79/590,708.87 = 297,842.88/x
  3. Step 3: Cross multiply
    394,052.79x = 590,708.87 × 297,842.88
  4. Step 4: Simplify right side
    394,052.79x = 175,938,431,082.35
  5. Step 5: Solve for x
    x = 175,938,431,082.35/394,052.79
  6. Step 6: Final answer
    x = 446,484.42

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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.