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Finding the Fourth Proportional to 408,655.80, 612,983.70 and 295,806.60

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Solution

The fourth proportional to 408,655.80, 612,983.70 and 295,806.60 is: 443,709.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,655.80 : 612,983.70 = 295,806.60 : x
  2. Step 2: Convert to fraction form
    408,655.80/612,983.70 = 295,806.60/x
  3. Step 3: Cross multiply
    408,655.80x = 612,983.70 × 295,806.60
  4. Step 4: Simplify right side
    408,655.80x = 181,324,624,152.42
  5. Step 5: Solve for x
    x = 181,324,624,152.42/408,655.80
  6. Step 6: Final answer
    x = 443,709.90

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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.