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Finding the Fourth Proportional to 322,414.70, 483,626.10 and 97,777.40

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Solution

The fourth proportional to 322,414.70, 483,626.10 and 97,777.40 is: 146,667.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,414.70 : 483,626.10 = 97,777.40 : x
  2. Step 2: Convert to fraction form
    322,414.70/483,626.10 = 97,777.40/x
  3. Step 3: Cross multiply
    322,414.70x = 483,626.10 × 97,777.40
  4. Step 4: Simplify right side
    322,414.70x = 47,287,702,630.14
  5. Step 5: Solve for x
    x = 47,287,702,630.14/322,414.70
  6. Step 6: Final answer
    x = 146,667.33

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1.5x scale

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.