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Finding the Fourth Proportional to 321,896.47, 444,237.89 and 178,656.51

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Solution

The fourth proportional to 321,896.47, 444,237.89 and 178,656.51 is: 246,557.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,896.47 : 444,237.89 = 178,656.51 : x
  2. Step 2: Convert to fraction form
    321,896.47/444,237.89 = 178,656.51/x
  3. Step 3: Cross multiply
    321,896.47x = 444,237.89 × 178,656.51
  4. Step 4: Simplify right side
    321,896.47x = 79,365,991,809.77
  5. Step 5: Solve for x
    x = 79,365,991,809.77/321,896.47
  6. Step 6: Final answer
    x = 246,557.51

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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.