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Finding the Fourth Proportional to 322,462.70, 483,698.10 and 97,825.40

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Solution

The fourth proportional to 322,462.70, 483,698.10 and 97,825.40 is: 146,739.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,462.70 : 483,698.10 = 97,825.40 : x
  2. Step 2: Convert to fraction form
    322,462.70/483,698.10 = 97,825.40/x
  3. Step 3: Cross multiply
    322,462.70x = 483,698.10 × 97,825.40
  4. Step 4: Simplify right side
    322,462.70x = 47,317,960,111.74
  5. Step 5: Solve for x
    x = 47,317,960,111.74/322,462.70
  6. Step 6: Final answer
    x = 146,739.33

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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.