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Finding the Fourth Proportional to 467,938.20, 701,907.30 and 408,889.20

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Solution

The fourth proportional to 467,938.20, 701,907.30 and 408,889.20 is: 613,333.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,938.20 : 701,907.30 = 408,889.20 : x
  2. Step 2: Convert to fraction form
    467,938.20/701,907.30 = 408,889.20/x
  3. Step 3: Cross multiply
    467,938.20x = 701,907.30 × 408,889.20
  4. Step 4: Simplify right side
    467,938.20x = 287,002,314,371.16
  5. Step 5: Solve for x
    x = 287,002,314,371.16/467,938.20
  6. Step 6: Final answer
    x = 613,333.80

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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.