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Finding the Fourth Proportional to 401,914.56, 554,645.76 and 232,144.80

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Solution

The fourth proportional to 401,914.56, 554,645.76 and 232,144.80 is: 320,361.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,914.56 : 554,645.76 = 232,144.80 : x
  2. Step 2: Convert to fraction form
    401,914.56/554,645.76 = 232,144.80/x
  3. Step 3: Cross multiply
    401,914.56x = 554,645.76 × 232,144.80
  4. Step 4: Simplify right side
    401,914.56x = 128,758,129,026.05
  5. Step 5: Solve for x
    x = 128,758,129,026.05/401,914.56
  6. Step 6: Final answer
    x = 320,361.94

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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.