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Finding the Fourth Proportional to 433,771.58, 650,638.24 and 118,228.48

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Solution

The fourth proportional to 433,771.58, 650,638.24 and 118,228.48 is: 177,337.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,771.58 : 650,638.24 = 118,228.48 : x
  2. Step 2: Convert to fraction form
    433,771.58/650,638.24 = 118,228.48/x
  3. Step 3: Cross multiply
    433,771.58x = 650,638.24 × 118,228.48
  4. Step 4: Simplify right side
    433,771.58x = 76,923,970,145.08
  5. Step 5: Solve for x
    x = 76,923,970,145.08/433,771.58
  6. Step 6: Final answer
    x = 177,337.51

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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.