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Finding the Fourth Proportional to 445,410.40, 668,164.20 and 431,413.60

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Solution

The fourth proportional to 445,410.40, 668,164.20 and 431,413.60 is: 647,167.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,410.40 : 668,164.20 = 431,413.60 : x
  2. Step 2: Convert to fraction form
    445,410.40/668,164.20 = 431,413.60/x
  3. Step 3: Cross multiply
    445,410.40x = 668,164.20 × 431,413.60
  4. Step 4: Simplify right side
    445,410.40x = 288,255,122,913.12
  5. Step 5: Solve for x
    x = 288,255,122,913.12/445,410.40
  6. Step 6: Final answer
    x = 647,167.47

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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.