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Finding the Fourth Proportional to 257,164.20, 385,090.20 and 204,676.20

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Solution

The fourth proportional to 257,164.20, 385,090.20 and 204,676.20 is: 306,492.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,164.20 : 385,090.20 = 204,676.20 : x
  2. Step 2: Convert to fraction form
    257,164.20/385,090.20 = 204,676.20/x
  3. Step 3: Cross multiply
    257,164.20x = 385,090.20 × 204,676.20
  4. Step 4: Simplify right side
    257,164.20x = 78,818,798,793.24
  5. Step 5: Solve for x
    x = 78,818,798,793.24/257,164.20
  6. Step 6: Final answer
    x = 306,492.11

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1.5x scale

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.