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Finding the Fourth Proportional to 256,418.40, 384,627.60 and 69,429.60

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Solution

The fourth proportional to 256,418.40, 384,627.60 and 69,429.60 is: 104,144.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,418.40 : 384,627.60 = 69,429.60 : x
  2. Step 2: Convert to fraction form
    256,418.40/384,627.60 = 69,429.60/x
  3. Step 3: Cross multiply
    256,418.40x = 384,627.60 × 69,429.60
  4. Step 4: Simplify right side
    256,418.40x = 26,704,540,416.96
  5. Step 5: Solve for x
    x = 26,704,540,416.96/256,418.40
  6. Step 6: Final answer
    x = 104,144.40

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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.