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Finding the Fourth Proportional to 322,484.98, 483,728.55 and 97,847.26

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Solution

The fourth proportional to 322,484.98, 483,728.55 and 97,847.26 is: 146,771.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,484.98 : 483,728.55 = 97,847.26 : x
  2. Step 2: Convert to fraction form
    322,484.98/483,728.55 = 97,847.26/x
  3. Step 3: Cross multiply
    322,484.98x = 483,728.55 × 97,847.26
  4. Step 4: Simplify right side
    322,484.98x = 47,331,513,201.27
  5. Step 5: Solve for x
    x = 47,331,513,201.27/322,484.98
  6. Step 6: Final answer
    x = 146,771.22

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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.