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Finding the Fourth Proportional to 482,563.11, 723,374 and 229,775.68

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Solution

The fourth proportional to 482,563.11, 723,374 and 229,775.68 is: 344,439.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,563.11 : 723,374 = 229,775.68 : x
  2. Step 2: Convert to fraction form
    482,563.11/723,374 = 229,775.68/x
  3. Step 3: Cross multiply
    482,563.11x = 723,374 × 229,775.68
  4. Step 4: Simplify right side
    482,563.11x = 166,213,752,744.32
  5. Step 5: Solve for x
    x = 166,213,752,744.32/482,563.11
  6. Step 6: Final answer
    x = 344,439.41

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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.