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Finding the Fourth Proportional to 256,528.26, 384,416.96 and 144,427.21

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Solution

The fourth proportional to 256,528.26, 384,416.96 and 144,427.21 is: 216,429.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,528.26 : 384,416.96 = 144,427.21 : x
  2. Step 2: Convert to fraction form
    256,528.26/384,416.96 = 144,427.21/x
  3. Step 3: Cross multiply
    256,528.26x = 384,416.96 × 144,427.21
  4. Step 4: Simplify right side
    256,528.26x = 55,520,267,326.30
  5. Step 5: Solve for x
    x = 55,520,267,326.30/256,528.26
  6. Step 6: Final answer
    x = 216,429.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.