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Finding the Fourth Proportional to 256,255.68, 353,438.24 and 220,505.60

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Solution

The fourth proportional to 256,255.68, 353,438.24 and 220,505.60 is: 304,130.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,255.68 : 353,438.24 = 220,505.60 : x
  2. Step 2: Convert to fraction form
    256,255.68/353,438.24 = 220,505.60/x
  3. Step 3: Cross multiply
    256,255.68x = 353,438.24 × 220,505.60
  4. Step 4: Simplify right side
    256,255.68x = 77,935,111,174.14
  5. Step 5: Solve for x
    x = 77,935,111,174.14/256,255.68
  6. Step 6: Final answer
    x = 304,130.28

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