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Finding the Fourth Proportional to 440,165.80, 661,658.10 and 408,964.60

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Solution

The fourth proportional to 440,165.80, 661,658.10 and 408,964.60 is: 614,756.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,165.80 : 661,658.10 = 408,964.60 : x
  2. Step 2: Convert to fraction form
    440,165.80/661,658.10 = 408,964.60/x
  3. Step 3: Cross multiply
    440,165.80x = 661,658.10 × 408,964.60
  4. Step 4: Simplify right side
    440,165.80x = 270,594,740,203.26
  5. Step 5: Solve for x
    x = 270,594,740,203.26/440,165.80
  6. Step 6: Final answer
    x = 614,756.39

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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.