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Finding the Fourth Proportional to 365,025, 503,729.26 and 203,882.40

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Solution

The fourth proportional to 365,025, 503,729.26 and 203,882.40 is: 281,354.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,025 : 503,729.26 = 203,882.40 : x
  2. Step 2: Convert to fraction form
    365,025/503,729.26 = 203,882.40/x
  3. Step 3: Cross multiply
    365,025x = 503,729.26 × 203,882.40
  4. Step 4: Simplify right side
    365,025x = 102,701,530,479.02
  5. Step 5: Solve for x
    x = 102,701,530,479.02/365,025
  6. Step 6: Final answer
    x = 281,354.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.