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Finding the Fourth Proportional to 433,872.24, 650,946.60 and 345,467.76

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Solution

The fourth proportional to 433,872.24, 650,946.60 and 345,467.76 is: 518,311.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,872.24 : 650,946.60 = 345,467.76 : x
  2. Step 2: Convert to fraction form
    433,872.24/650,946.60 = 345,467.76/x
  3. Step 3: Cross multiply
    433,872.24x = 650,946.60 × 345,467.76
  4. Step 4: Simplify right side
    433,872.24x = 224,881,063,781.62
  5. Step 5: Solve for x
    x = 224,881,063,781.62/433,872.24
  6. Step 6: Final answer
    x = 518,311.71

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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.