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Finding the Fourth Proportional to 401,277.89, 601,917.97 and 101,758.67

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Solution

The fourth proportional to 401,277.89, 601,917.97 and 101,758.67 is: 152,638.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,277.89 : 601,917.97 = 101,758.67 : x
  2. Step 2: Convert to fraction form
    401,277.89/601,917.97 = 101,758.67/x
  3. Step 3: Cross multiply
    401,277.89x = 601,917.97 × 101,758.67
  4. Step 4: Simplify right side
    401,277.89x = 61,250,372,076.30
  5. Step 5: Solve for x
    x = 61,250,372,076.30/401,277.89
  6. Step 6: Final answer
    x = 152,638.29

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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.