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Finding the Fourth Proportional to 314,299.88, 470,699.40 and 180,899.73

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Solution

The fourth proportional to 314,299.88, 470,699.40 and 180,899.73 is: 270,917.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,299.88 : 470,699.40 = 180,899.73 : x
  2. Step 2: Convert to fraction form
    314,299.88/470,699.40 = 180,899.73/x
  3. Step 3: Cross multiply
    314,299.88x = 470,699.40 × 180,899.73
  4. Step 4: Simplify right side
    314,299.88x = 85,149,395,049.54
  5. Step 5: Solve for x
    x = 85,149,395,049.54/314,299.88
  6. Step 6: Final answer
    x = 270,917.68

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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.