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Finding the Fourth Proportional to 322,213.82, 483,457.41 and 172,415.25

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Solution

The fourth proportional to 322,213.82, 483,457.41 and 172,415.25 is: 258,696.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,213.82 : 483,457.41 = 172,415.25 : x
  2. Step 2: Convert to fraction form
    322,213.82/483,457.41 = 172,415.25/x
  3. Step 3: Cross multiply
    322,213.82x = 483,457.41 × 172,415.25
  4. Step 4: Simplify right side
    322,213.82x = 83,355,430,209.50
  5. Step 5: Solve for x
    x = 83,355,430,209.50/322,213.82
  6. Step 6: Final answer
    x = 258,696.02

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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.