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Finding the Fourth Proportional to 256,623.60, 384,998.10 and 180,869.88

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Solution

The fourth proportional to 256,623.60, 384,998.10 and 180,869.88 is: 271,349.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,623.60 : 384,998.10 = 180,869.88 : x
  2. Step 2: Convert to fraction form
    256,623.60/384,998.10 = 180,869.88/x
  3. Step 3: Cross multiply
    256,623.60x = 384,998.10 × 180,869.88
  4. Step 4: Simplify right side
    256,623.60x = 69,634,560,147.23
  5. Step 5: Solve for x
    x = 69,634,560,147.23/256,623.60
  6. Step 6: Final answer
    x = 271,349.01

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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.