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Finding the Fourth Proportional to 322,406.70, 483,614.10 and 97,769.40

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Solution

The fourth proportional to 322,406.70, 483,614.10 and 97,769.40 is: 146,655.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,406.70 : 483,614.10 = 97,769.40 : x
  2. Step 2: Convert to fraction form
    322,406.70/483,614.10 = 97,769.40/x
  3. Step 3: Cross multiply
    322,406.70x = 483,614.10 × 97,769.40
  4. Step 4: Simplify right side
    322,406.70x = 47,282,660,388.54
  5. Step 5: Solve for x
    x = 47,282,660,388.54/322,406.70
  6. Step 6: Final answer
    x = 146,655.33

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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.