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Finding the Fourth Proportional to 633,744, 950,700.24 and 296,738.64

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Solution

The fourth proportional to 633,744, 950,700.24 and 296,738.64 is: 445,147.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,744 : 950,700.24 = 296,738.64 : x
  2. Step 2: Convert to fraction form
    633,744/950,700.24 = 296,738.64/x
  3. Step 3: Cross multiply
    633,744x = 950,700.24 × 296,738.64
  4. Step 4: Simplify right side
    633,744x = 282,109,496,265.27
  5. Step 5: Solve for x
    x = 282,109,496,265.27/633,744
  6. Step 6: Final answer
    x = 445,147.40

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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.