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Finding the Fourth Proportional to 256,401.60, 384,602.40 and 108,638.40

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Solution

The fourth proportional to 256,401.60, 384,602.40 and 108,638.40 is: 162,957.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,401.60 : 384,602.40 = 108,638.40 : x
  2. Step 2: Convert to fraction form
    256,401.60/384,602.40 = 108,638.40/x
  3. Step 3: Cross multiply
    256,401.60x = 384,602.40 × 108,638.40
  4. Step 4: Simplify right side
    256,401.60x = 41,782,589,372.16
  5. Step 5: Solve for x
    x = 41,782,589,372.16/256,401.60
  6. Step 6: Final answer
    x = 162,957.60

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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.