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Finding the Fourth Proportional to 383,893.60, 575,840.40 and 231,678.40

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Solution

The fourth proportional to 383,893.60, 575,840.40 and 231,678.40 is: 347,517.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,893.60 : 575,840.40 = 231,678.40 : x
  2. Step 2: Convert to fraction form
    383,893.60/575,840.40 = 231,678.40/x
  3. Step 3: Cross multiply
    383,893.60x = 575,840.40 × 231,678.40
  4. Step 4: Simplify right side
    383,893.60x = 133,409,782,527.36
  5. Step 5: Solve for x
    x = 133,409,782,527.36/383,893.60
  6. Step 6: Final answer
    x = 347,517.60

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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.