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Finding the Fourth Proportional to 297,832.50, 446,751.99 and 76,216.50

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Solution

The fourth proportional to 297,832.50, 446,751.99 and 76,216.50 is: 114,325.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,832.50 : 446,751.99 = 76,216.50 : x
  2. Step 2: Convert to fraction form
    297,832.50/446,751.99 = 76,216.50/x
  3. Step 3: Cross multiply
    297,832.50x = 446,751.99 × 76,216.50
  4. Step 4: Simplify right side
    297,832.50x = 34,049,873,045.84
  5. Step 5: Solve for x
    x = 34,049,873,045.84/297,832.50
  6. Step 6: Final answer
    x = 114,325.58

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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.