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Finding the Fourth Proportional to 301,096.17, 415,512.07 and 173,771.77

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Solution

The fourth proportional to 301,096.17, 415,512.07 and 173,771.77 is: 239,804.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,096.17 : 415,512.07 = 173,771.77 : x
  2. Step 2: Convert to fraction form
    301,096.17/415,512.07 = 173,771.77/x
  3. Step 3: Cross multiply
    301,096.17x = 415,512.07 × 173,771.77
  4. Step 4: Simplify right side
    301,096.17x = 72,204,267,860.26
  5. Step 5: Solve for x
    x = 72,204,267,860.26/301,096.17
  6. Step 6: Final answer
    x = 239,804.67

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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.