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Finding the Fourth Proportional to 322,431.40, 483,647.10 and 182,463.40

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Solution

The fourth proportional to 322,431.40, 483,647.10 and 182,463.40 is: 273,695.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,431.40 : 483,647.10 = 182,463.40 : x
  2. Step 2: Convert to fraction form
    322,431.40/483,647.10 = 182,463.40/x
  3. Step 3: Cross multiply
    322,431.40x = 483,647.10 × 182,463.40
  4. Step 4: Simplify right side
    322,431.40x = 88,247,894,266.14
  5. Step 5: Solve for x
    x = 88,247,894,266.14/322,431.40
  6. Step 6: Final answer
    x = 273,695.10

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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.