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Finding the Fourth Proportional to 384,452.80, 577,262.40 and 295,806.40

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Solution

The fourth proportional to 384,452.80, 577,262.40 and 295,806.40 is: 444,158.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,452.80 : 577,262.40 = 295,806.40 : x
  2. Step 2: Convert to fraction form
    384,452.80/577,262.40 = 295,806.40/x
  3. Step 3: Cross multiply
    384,452.80x = 577,262.40 × 295,806.40
  4. Step 4: Simplify right side
    384,452.80x = 170,757,912,399.36
  5. Step 5: Solve for x
    x = 170,757,912,399.36/384,452.80
  6. Step 6: Final answer
    x = 444,158.33

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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.