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Finding the Fourth Proportional to 300,997.50, 415,441.35 and 180,165.75

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Solution

The fourth proportional to 300,997.50, 415,441.35 and 180,165.75 is: 248,667.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,997.50 : 415,441.35 = 180,165.75 : x
  2. Step 2: Convert to fraction form
    300,997.50/415,441.35 = 180,165.75/x
  3. Step 3: Cross multiply
    300,997.50x = 415,441.35 × 180,165.75
  4. Step 4: Simplify right side
    300,997.50x = 74,848,302,403.76
  5. Step 5: Solve for x
    x = 74,848,302,403.76/300,997.50
  6. Step 6: Final answer
    x = 248,667.52

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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.