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Finding the Fourth Proportional to 294,941, 442,413.12 and 73,325

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Solution

The fourth proportional to 294,941, 442,413.12 and 73,325 is: 109,987.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,941 : 442,413.12 = 73,325 : x
  2. Step 2: Convert to fraction form
    294,941/442,413.12 = 73,325/x
  3. Step 3: Cross multiply
    294,941x = 442,413.12 × 73,325
  4. Step 4: Simplify right side
    294,941x = 32,439,942,024
  5. Step 5: Solve for x
    x = 32,439,942,024/294,941
  6. Step 6: Final answer
    x = 109,987.90

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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.