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Finding the Fourth Proportional to 354,352.82, 531,228.18 and 164,923.20

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Solution

The fourth proportional to 354,352.82, 531,228.18 and 164,923.20 is: 247,244.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,352.82 : 531,228.18 = 164,923.20 : x
  2. Step 2: Convert to fraction form
    354,352.82/531,228.18 = 164,923.20/x
  3. Step 3: Cross multiply
    354,352.82x = 531,228.18 × 164,923.20
  4. Step 4: Simplify right side
    354,352.82x = 87,611,847,895.02
  5. Step 5: Solve for x
    x = 87,611,847,895.02/354,352.82
  6. Step 6: Final answer
    x = 247,244.68

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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.