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Finding the Fourth Proportional to 256,021.40, 384,032.10 and 254,466.20

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Solution

The fourth proportional to 256,021.40, 384,032.10 and 254,466.20 is: 381,699.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,021.40 : 384,032.10 = 254,466.20 : x
  2. Step 2: Convert to fraction form
    256,021.40/384,032.10 = 254,466.20/x
  3. Step 3: Cross multiply
    256,021.40x = 384,032.10 × 254,466.20
  4. Step 4: Simplify right side
    256,021.40x = 97,723,189,165.02
  5. Step 5: Solve for x
    x = 97,723,189,165.02/256,021.40
  6. Step 6: Final answer
    x = 381,699.30

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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.