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Finding the Fourth Proportional to 256,096.20, 383,453.10 and 256,096.20

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Solution

The fourth proportional to 256,096.20, 383,453.10 and 256,096.20 is: 383,453.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,096.20 : 383,453.10 = 256,096.20 : x
  2. Step 2: Convert to fraction form
    256,096.20/383,453.10 = 256,096.20/x
  3. Step 3: Cross multiply
    256,096.20x = 383,453.10 × 256,096.20
  4. Step 4: Simplify right side
    256,096.20x = 98,200,881,788.22
  5. Step 5: Solve for x
    x = 98,200,881,788.22/256,096.20
  6. Step 6: Final answer
    x = 383,453.10

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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.