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Finding the Fourth Proportional to 533,590.20, 799,413.30 and 422,004.60

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Solution

The fourth proportional to 533,590.20, 799,413.30 and 422,004.60 is: 632,238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,590.20 : 799,413.30 = 422,004.60 : x
  2. Step 2: Convert to fraction form
    533,590.20/799,413.30 = 422,004.60/x
  3. Step 3: Cross multiply
    533,590.20x = 799,413.30 × 422,004.60
  4. Step 4: Simplify right side
    533,590.20x = 337,356,089,901.18
  5. Step 5: Solve for x
    x = 337,356,089,901.18/533,590.20
  6. Step 6: Final answer
    x = 632,238.17

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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.