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Finding the Fourth Proportional to 294,683.12, 442,333.86 and 261,163.60

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Solution

The fourth proportional to 294,683.12, 442,333.86 and 261,163.60 is: 392,019.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,683.12 : 442,333.86 = 261,163.60 : x
  2. Step 2: Convert to fraction form
    294,683.12/442,333.86 = 261,163.60/x
  3. Step 3: Cross multiply
    294,683.12x = 442,333.86 × 261,163.60
  4. Step 4: Simplify right side
    294,683.12x = 115,521,503,279.50
  5. Step 5: Solve for x
    x = 115,521,503,279.50/294,683.12
  6. Step 6: Final answer
    x = 392,019.41

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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.