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Finding the Fourth Proportional to 325,221.04, 448,824.72 and 181,978

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Solution

The fourth proportional to 325,221.04, 448,824.72 and 181,978 is: 251,140.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,221.04 : 448,824.72 = 181,978 : x
  2. Step 2: Convert to fraction form
    325,221.04/448,824.72 = 181,978/x
  3. Step 3: Cross multiply
    325,221.04x = 448,824.72 × 181,978
  4. Step 4: Simplify right side
    325,221.04x = 81,676,224,896.16
  5. Step 5: Solve for x
    x = 81,676,224,896.16/325,221.04
  6. Step 6: Final answer
    x = 251,140.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.