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Finding the Fourth Proportional to 323,290.96, 484,936.47 and 98,652.57

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Solution

The fourth proportional to 323,290.96, 484,936.47 and 98,652.57 is: 147,978.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,290.96 : 484,936.47 = 98,652.57 : x
  2. Step 2: Convert to fraction form
    323,290.96/484,936.47 = 98,652.57/x
  3. Step 3: Cross multiply
    323,290.96x = 484,936.47 × 98,652.57
  4. Step 4: Simplify right side
    323,290.96x = 47,840,229,052.23
  5. Step 5: Solve for x
    x = 47,840,229,052.23/323,290.96
  6. Step 6: Final answer
    x = 147,978.87

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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.