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Finding the Fourth Proportional to 354,684.45, 531,727.11 and 165,046.98

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Solution

The fourth proportional to 354,684.45, 531,727.11 and 165,046.98 is: 247,431.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,684.45 : 531,727.11 = 165,046.98 : x
  2. Step 2: Convert to fraction form
    354,684.45/531,727.11 = 165,046.98/x
  3. Step 3: Cross multiply
    354,684.45x = 531,727.11 × 165,046.98
  4. Step 4: Simplify right side
    354,684.45x = 87,759,953,689.63
  5. Step 5: Solve for x
    x = 87,759,953,689.63/354,684.45
  6. Step 6: Final answer
    x = 247,431.07

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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.