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Finding the Fourth Proportional to 474,096.80, 710,223.60 and 263,357.60

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Solution

The fourth proportional to 474,096.80, 710,223.60 and 263,357.60 is: 394,524.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,096.80 : 710,223.60 = 263,357.60 : x
  2. Step 2: Convert to fraction form
    474,096.80/710,223.60 = 263,357.60/x
  3. Step 3: Cross multiply
    474,096.80x = 710,223.60 × 263,357.60
  4. Step 4: Simplify right side
    474,096.80x = 187,042,782,759.36
  5. Step 5: Solve for x
    x = 187,042,782,759.36/474,096.80
  6. Step 6: Final answer
    x = 394,524.46

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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.