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Finding the Fourth Proportional to 322,279.40, 483,419.10 and 164,815.40

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Solution

The fourth proportional to 322,279.40, 483,419.10 and 164,815.40 is: 247,223.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,279.40 : 483,419.10 = 164,815.40 : x
  2. Step 2: Convert to fraction form
    322,279.40/483,419.10 = 164,815.40/x
  3. Step 3: Cross multiply
    322,279.40x = 483,419.10 × 164,815.40
  4. Step 4: Simplify right side
    322,279.40x = 79,674,912,334.14
  5. Step 5: Solve for x
    x = 79,674,912,334.14/322,279.40
  6. Step 6: Final answer
    x = 247,223.10

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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.