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Finding the Fourth Proportional to 432,801.10, 649,201.65 and 412,133.95

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Solution

The fourth proportional to 432,801.10, 649,201.65 and 412,133.95 is: 618,200.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,801.10 : 649,201.65 = 412,133.95 : x
  2. Step 2: Convert to fraction form
    432,801.10/649,201.65 = 412,133.95/x
  3. Step 3: Cross multiply
    432,801.10x = 649,201.65 × 412,133.95
  4. Step 4: Simplify right side
    432,801.10x = 267,558,040,361.02
  5. Step 5: Solve for x
    x = 267,558,040,361.02/432,801.10
  6. Step 6: Final answer
    x = 618,200.93

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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.