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Finding the Fourth Proportional to 322,757.34, 483,802.44 and 123,024.06

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Solution

The fourth proportional to 322,757.34, 483,802.44 and 123,024.06 is: 184,408.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,757.34 : 483,802.44 = 123,024.06 : x
  2. Step 2: Convert to fraction form
    322,757.34/483,802.44 = 123,024.06/x
  3. Step 3: Cross multiply
    322,757.34x = 483,802.44 × 123,024.06
  4. Step 4: Simplify right side
    322,757.34x = 59,519,340,406.71
  5. Step 5: Solve for x
    x = 59,519,340,406.71/322,757.34
  6. Step 6: Final answer
    x = 184,408.94

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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.