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Finding the Fourth Proportional to 257,096.20, 385,644.30 and 257,096.20

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Solution

The fourth proportional to 257,096.20, 385,644.30 and 257,096.20 is: 385,644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,096.20 : 385,644.30 = 257,096.20 : x
  2. Step 2: Convert to fraction form
    257,096.20/385,644.30 = 257,096.20/x
  3. Step 3: Cross multiply
    257,096.20x = 385,644.30 × 257,096.20
  4. Step 4: Simplify right side
    257,096.20x = 99,147,684,081.66
  5. Step 5: Solve for x
    x = 99,147,684,081.66/257,096.20
  6. Step 6: Final answer
    x = 385,644.30

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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.