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Finding the Fourth Proportional to 291,609, 437,413.50 and 69,993

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Solution

The fourth proportional to 291,609, 437,413.50 and 69,993 is: 104,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,609 : 437,413.50 = 69,993 : x
  2. Step 2: Convert to fraction form
    291,609/437,413.50 = 69,993/x
  3. Step 3: Cross multiply
    291,609x = 437,413.50 × 69,993
  4. Step 4: Simplify right side
    291,609x = 30,615,883,105.50
  5. Step 5: Solve for x
    x = 30,615,883,105.50/291,609
  6. Step 6: Final answer
    x = 104,989.50

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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.