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Finding the Fourth Proportional to 322,457.60, 483,783.60 and 172,769.60

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Solution

The fourth proportional to 322,457.60, 483,783.60 and 172,769.60 is: 259,206.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,457.60 : 483,783.60 = 172,769.60 : x
  2. Step 2: Convert to fraction form
    322,457.60/483,783.60 = 172,769.60/x
  3. Step 3: Cross multiply
    322,457.60x = 483,783.60 × 172,769.60
  4. Step 4: Simplify right side
    322,457.60x = 83,583,099,058.56
  5. Step 5: Solve for x
    x = 83,583,099,058.56/322,457.60
  6. Step 6: Final answer
    x = 259,206.48

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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.