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Finding the Fourth Proportional to 442,821.80, 664,232.70 and 408,607.40

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Solution

The fourth proportional to 442,821.80, 664,232.70 and 408,607.40 is: 612,911.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,821.80 : 664,232.70 = 408,607.40 : x
  2. Step 2: Convert to fraction form
    442,821.80/664,232.70 = 408,607.40/x
  3. Step 3: Cross multiply
    442,821.80x = 664,232.70 × 408,607.40
  4. Step 4: Simplify right side
    442,821.80x = 271,410,396,541.98
  5. Step 5: Solve for x
    x = 271,410,396,541.98/442,821.80
  6. Step 6: Final answer
    x = 612,911.10

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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.