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Finding the Fourth Proportional to 274,207.60, 411,311.40 and 256,492.90

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Solution

The fourth proportional to 274,207.60, 411,311.40 and 256,492.90 is: 384,739.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,207.60 : 411,311.40 = 256,492.90 : x
  2. Step 2: Convert to fraction form
    274,207.60/411,311.40 = 256,492.90/x
  3. Step 3: Cross multiply
    274,207.60x = 411,311.40 × 256,492.90
  4. Step 4: Simplify right side
    274,207.60x = 105,498,453,789.06
  5. Step 5: Solve for x
    x = 105,498,453,789.06/274,207.60
  6. Step 6: Final answer
    x = 384,739.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.