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Finding the Fourth Proportional to 323,956.98, 486,083.14 and 166,296.24

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Solution

The fourth proportional to 323,956.98, 486,083.14 and 166,296.24 is: 249,520.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,956.98 : 486,083.14 = 166,296.24 : x
  2. Step 2: Convert to fraction form
    323,956.98/486,083.14 = 166,296.24/x
  3. Step 3: Cross multiply
    323,956.98x = 486,083.14 × 166,296.24
  4. Step 4: Simplify right side
    323,956.98x = 80,833,798,509.39
  5. Step 5: Solve for x
    x = 80,833,798,509.39/323,956.98
  6. Step 6: Final answer
    x = 249,520.16

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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.