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Finding the Fourth Proportional to 466,492.80, 700,257.60 and 256,540.80

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Solution

The fourth proportional to 466,492.80, 700,257.60 and 256,540.80 is: 385,096.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,492.80 : 700,257.60 = 256,540.80 : x
  2. Step 2: Convert to fraction form
    466,492.80/700,257.60 = 256,540.80/x
  3. Step 3: Cross multiply
    466,492.80x = 700,257.60 × 256,540.80
  4. Step 4: Simplify right side
    466,492.80x = 179,644,644,910.08
  5. Step 5: Solve for x
    x = 179,644,644,910.08/466,492.80
  6. Step 6: Final answer
    x = 385,096.29

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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.