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Finding the Fourth Proportional to 354,353.82, 531,229.67 and 164,924.20

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Solution

The fourth proportional to 354,353.82, 531,229.67 and 164,924.20 is: 247,246.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,353.82 : 531,229.67 = 164,924.20 : x
  2. Step 2: Convert to fraction form
    354,353.82/531,229.67 = 164,924.20/x
  3. Step 3: Cross multiply
    354,353.82x = 531,229.67 × 164,924.20
  4. Step 4: Simplify right side
    354,353.82x = 87,612,628,341.01
  5. Step 5: Solve for x
    x = 87,612,628,341.01/354,353.82
  6. Step 6: Final answer
    x = 247,246.18

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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.