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Finding the Fourth Proportional to 256,478.68, 384,762.06 and 114,374.44

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Solution

The fourth proportional to 256,478.68, 384,762.06 and 114,374.44 is: 171,581.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,478.68 : 384,762.06 = 114,374.44 : x
  2. Step 2: Convert to fraction form
    256,478.68/384,762.06 = 114,374.44/x
  3. Step 3: Cross multiply
    256,478.68x = 384,762.06 × 114,374.44
  4. Step 4: Simplify right side
    256,478.68x = 44,006,945,145.75
  5. Step 5: Solve for x
    x = 44,006,945,145.75/256,478.68
  6. Step 6: Final answer
    x = 171,581.30

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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.