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Finding the Fourth Proportional to 386,469.60, 579,947.60 and 164,850.40

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Solution

The fourth proportional to 386,469.60, 579,947.60 and 164,850.40 is: 247,379.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,469.60 : 579,947.60 = 164,850.40 : x
  2. Step 2: Convert to fraction form
    386,469.60/579,947.60 = 164,850.40/x
  3. Step 3: Cross multiply
    386,469.60x = 579,947.60 × 164,850.40
  4. Step 4: Simplify right side
    386,469.60x = 95,604,593,839.04
  5. Step 5: Solve for x
    x = 95,604,593,839.04/386,469.60
  6. Step 6: Final answer
    x = 247,379.34

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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.