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Finding the Fourth Proportional to 274,209.60, 411,314.40 and 256,494.90

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Solution

The fourth proportional to 274,209.60, 411,314.40 and 256,494.90 is: 384,742.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,209.60 : 411,314.40 = 256,494.90 : x
  2. Step 2: Convert to fraction form
    274,209.60/411,314.40 = 256,494.90/x
  3. Step 3: Cross multiply
    274,209.60x = 411,314.40 × 256,494.90
  4. Step 4: Simplify right side
    274,209.60x = 105,500,045,896.56
  5. Step 5: Solve for x
    x = 105,500,045,896.56/274,209.60
  6. Step 6: Final answer
    x = 384,742.35

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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.