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Finding the Fourth Proportional to 256,858.40, 385,280.40 and 116,616.80

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Solution

The fourth proportional to 256,858.40, 385,280.40 and 116,616.80 is: 174,921.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,858.40 : 385,280.40 = 116,616.80 : x
  2. Step 2: Convert to fraction form
    256,858.40/385,280.40 = 116,616.80/x
  3. Step 3: Cross multiply
    256,858.40x = 385,280.40 × 116,616.80
  4. Step 4: Simplify right side
    256,858.40x = 44,930,167,350.72
  5. Step 5: Solve for x
    x = 44,930,167,350.72/256,858.40
  6. Step 6: Final answer
    x = 174,921.93

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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.