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Finding the Fourth Proportional to 457,581.42, 686,611.44 and 332,256.90

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Solution

The fourth proportional to 457,581.42, 686,611.44 and 332,256.90 is: 498,559.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,581.42 : 686,611.44 = 332,256.90 : x
  2. Step 2: Convert to fraction form
    457,581.42/686,611.44 = 332,256.90/x
  3. Step 3: Cross multiply
    457,581.42x = 686,611.44 × 332,256.90
  4. Step 4: Simplify right side
    457,581.42x = 228,131,388,558.94
  5. Step 5: Solve for x
    x = 228,131,388,558.94/457,581.42
  6. Step 6: Final answer
    x = 498,559.12

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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.