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Finding the Fourth Proportional to 432,201.34, 647,777.10 and 305,878.50

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Solution

The fourth proportional to 432,201.34, 647,777.10 and 305,878.50 is: 458,446.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,201.34 : 647,777.10 = 305,878.50 : x
  2. Step 2: Convert to fraction form
    432,201.34/647,777.10 = 305,878.50/x
  3. Step 3: Cross multiply
    432,201.34x = 647,777.10 × 305,878.50
  4. Step 4: Simplify right side
    432,201.34x = 198,141,087,682.35
  5. Step 5: Solve for x
    x = 198,141,087,682.35/432,201.34
  6. Step 6: Final answer
    x = 458,446.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.