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Finding the Fourth Proportional to 509,489.40, 764,234.10 and 273,293.40

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Solution

The fourth proportional to 509,489.40, 764,234.10 and 273,293.40 is: 409,940.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,489.40 : 764,234.10 = 273,293.40 : x
  2. Step 2: Convert to fraction form
    509,489.40/764,234.10 = 273,293.40/x
  3. Step 3: Cross multiply
    509,489.40x = 764,234.10 × 273,293.40
  4. Step 4: Simplify right side
    509,489.40x = 208,860,135,584.94
  5. Step 5: Solve for x
    x = 208,860,135,584.94/509,489.40
  6. Step 6: Final answer
    x = 409,940.10

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Similar ratio
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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.