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Finding the Fourth Proportional to 474,452.70, 711,941.73 and 194,166.78

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Solution

The fourth proportional to 474,452.70, 711,941.73 and 194,166.78 is: 291,357.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,452.70 : 711,941.73 = 194,166.78 : x
  2. Step 2: Convert to fraction form
    474,452.70/711,941.73 = 194,166.78/x
  3. Step 3: Cross multiply
    474,452.70x = 711,941.73 × 194,166.78
  4. Step 4: Simplify right side
    474,452.70x = 138,235,433,261.73
  5. Step 5: Solve for x
    x = 138,235,433,261.73/474,452.70
  6. Step 6: Final answer
    x = 291,357.67

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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.