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Finding the Fourth Proportional to 432,199.07, 647,773.73 and 305,876.24

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Solution

The fourth proportional to 432,199.07, 647,773.73 and 305,876.24 is: 458,442.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,199.07 : 647,773.73 = 305,876.24 : x
  2. Step 2: Convert to fraction form
    432,199.07/647,773.73 = 305,876.24/x
  3. Step 3: Cross multiply
    432,199.07x = 647,773.73 × 305,876.24
  4. Step 4: Simplify right side
    432,199.07x = 198,138,592,903.18
  5. Step 5: Solve for x
    x = 198,138,592,903.18/432,199.07
  6. Step 6: Final answer
    x = 458,442.90

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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.