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Finding the Fourth Proportional to 305,416.20, 458,469.90 and 180,827.40

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Solution

The fourth proportional to 305,416.20, 458,469.90 and 180,827.40 is: 271,445.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,416.20 : 458,469.90 = 180,827.40 : x
  2. Step 2: Convert to fraction form
    305,416.20/458,469.90 = 180,827.40/x
  3. Step 3: Cross multiply
    305,416.20x = 458,469.90 × 180,827.40
  4. Step 4: Simplify right side
    305,416.20x = 82,903,919,995.26
  5. Step 5: Solve for x
    x = 82,903,919,995.26/305,416.20
  6. Step 6: Final answer
    x = 271,445.72

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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.