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Finding the Fourth Proportional to 322,389.84, 483,743.16 and 145,022.16

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Solution

The fourth proportional to 322,389.84, 483,743.16 and 145,022.16 is: 217,604.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,389.84 : 483,743.16 = 145,022.16 : x
  2. Step 2: Convert to fraction form
    322,389.84/483,743.16 = 145,022.16/x
  3. Step 3: Cross multiply
    322,389.84x = 483,743.16 × 145,022.16
  4. Step 4: Simplify right side
    322,389.84x = 70,153,477,948.43
  5. Step 5: Solve for x
    x = 70,153,477,948.43/322,389.84
  6. Step 6: Final answer
    x = 217,604.49

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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.