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Finding the Fourth Proportional to 465,506.66, 697,291.23 and 449,446.79

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Solution

The fourth proportional to 465,506.66, 697,291.23 and 449,446.79 is: 673,234.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,506.66 : 697,291.23 = 449,446.79 : x
  2. Step 2: Convert to fraction form
    465,506.66/697,291.23 = 449,446.79/x
  3. Step 3: Cross multiply
    465,506.66x = 697,291.23 × 449,446.79
  4. Step 4: Simplify right side
    465,506.66x = 313,395,308,447.31
  5. Step 5: Solve for x
    x = 313,395,308,447.31/465,506.66
  6. Step 6: Final answer
    x = 673,234.85

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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.