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Finding the Fourth Proportional to 301,473.76, 415,948.62 and 194,105.92

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Solution

The fourth proportional to 301,473.76, 415,948.62 and 194,105.92 is: 267,811.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,473.76 : 415,948.62 = 194,105.92 : x
  2. Step 2: Convert to fraction form
    301,473.76/415,948.62 = 194,105.92/x
  3. Step 3: Cross multiply
    301,473.76x = 415,948.62 × 194,105.92
  4. Step 4: Simplify right side
    301,473.76x = 80,738,089,557.83
  5. Step 5: Solve for x
    x = 80,738,089,557.83/301,473.76
  6. Step 6: Final answer
    x = 267,811.33

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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.