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Finding the Fourth Proportional to 323,073.64, 484,610.31 and 86,410.17

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Solution

The fourth proportional to 323,073.64, 484,610.31 and 86,410.17 is: 129,615.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,073.64 : 484,610.31 = 86,410.17 : x
  2. Step 2: Convert to fraction form
    323,073.64/484,610.31 = 86,410.17/x
  3. Step 3: Cross multiply
    323,073.64x = 484,610.31 × 86,410.17
  4. Step 4: Simplify right side
    323,073.64x = 41,875,259,270.85
  5. Step 5: Solve for x
    x = 41,875,259,270.85/323,073.64
  6. Step 6: Final answer
    x = 129,615.21

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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.