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Finding the Fourth Proportional to 465,528.44, 697,323.87 and 449,468.57

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Solution

The fourth proportional to 465,528.44, 697,323.87 and 449,468.57 is: 673,267.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,528.44 : 697,323.87 = 449,468.57 : x
  2. Step 2: Convert to fraction form
    465,528.44/697,323.87 = 449,468.57/x
  3. Step 3: Cross multiply
    465,528.44x = 697,323.87 × 449,468.57
  4. Step 4: Simplify right side
    465,528.44x = 313,425,159,189.15
  5. Step 5: Solve for x
    x = 313,425,159,189.15/465,528.44
  6. Step 6: Final answer
    x = 673,267.49

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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.