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Finding the Fourth Proportional to 301,241.28, 415,709.55 and 173,914.14

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Solution

The fourth proportional to 301,241.28, 415,709.55 and 173,914.14 is: 239,999.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,241.28 : 415,709.55 = 173,914.14 : x
  2. Step 2: Convert to fraction form
    301,241.28/415,709.55 = 173,914.14/x
  3. Step 3: Cross multiply
    301,241.28x = 415,709.55 × 173,914.14
  4. Step 4: Simplify right side
    301,241.28x = 72,297,768,878.04
  5. Step 5: Solve for x
    x = 72,297,768,878.04/301,241.28
  6. Step 6: Final answer
    x = 239,999.54

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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.