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Finding the Fourth Proportional to 312,777.14, 469,093.76 and 186,453.05

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Solution

The fourth proportional to 312,777.14, 469,093.76 and 186,453.05 is: 279,636.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,777.14 : 469,093.76 = 186,453.05 : x
  2. Step 2: Convert to fraction form
    312,777.14/469,093.76 = 186,453.05/x
  3. Step 3: Cross multiply
    312,777.14x = 469,093.76 × 186,453.05
  4. Step 4: Simplify right side
    312,777.14x = 87,463,961,355.70
  5. Step 5: Solve for x
    x = 87,463,961,355.70/312,777.14
  6. Step 6: Final answer
    x = 279,636.68

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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.