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Finding the Fourth Proportional to 256,586.40, 384,442.20 and 211,971.60

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Solution

The fourth proportional to 256,586.40, 384,442.20 and 211,971.60 is: 317,596.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,586.40 : 384,442.20 = 211,971.60 : x
  2. Step 2: Convert to fraction form
    256,586.40/384,442.20 = 211,971.60/x
  3. Step 3: Cross multiply
    256,586.40x = 384,442.20 × 211,971.60
  4. Step 4: Simplify right side
    256,586.40x = 81,490,828,241.52
  5. Step 5: Solve for x
    x = 81,490,828,241.52/256,586.40
  6. Step 6: Final answer
    x = 317,596.05

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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.