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Finding the Fourth Proportional to 354,353.82, 531,229.68 and 164,924.19

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Solution

The fourth proportional to 354,353.82, 531,229.68 and 164,924.19 is: 247,246.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,353.82 : 531,229.68 = 164,924.19 : x
  2. Step 2: Convert to fraction form
    354,353.82/531,229.68 = 164,924.19/x
  3. Step 3: Cross multiply
    354,353.82x = 531,229.68 × 164,924.19
  4. Step 4: Simplify right side
    354,353.82x = 87,612,624,677.96
  5. Step 5: Solve for x
    x = 87,612,624,677.96/354,353.82
  6. Step 6: Final answer
    x = 247,246.17

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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.