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Finding the Fourth Proportional to 256,887.60, 385,331.40 and 212,564.40

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Solution

The fourth proportional to 256,887.60, 385,331.40 and 212,564.40 is: 318,846.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,887.60 : 385,331.40 = 212,564.40 : x
  2. Step 2: Convert to fraction form
    256,887.60/385,331.40 = 212,564.40/x
  3. Step 3: Cross multiply
    256,887.60x = 385,331.40 × 212,564.40
  4. Step 4: Simplify right side
    256,887.60x = 81,907,737,842.16
  5. Step 5: Solve for x
    x = 81,907,737,842.16/256,887.60
  6. Step 6: Final answer
    x = 318,846.60

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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.