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Finding the Fourth Proportional to 324,138.90, 485,588.70 and 174,329.40

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Solution

The fourth proportional to 324,138.90, 485,588.70 and 174,329.40 is: 261,160.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,138.90 : 485,588.70 = 174,329.40 : x
  2. Step 2: Convert to fraction form
    324,138.90/485,588.70 = 174,329.40/x
  3. Step 3: Cross multiply
    324,138.90x = 485,588.70 × 174,329.40
  4. Step 4: Simplify right side
    324,138.90x = 84,652,386,717.78
  5. Step 5: Solve for x
    x = 84,652,386,717.78/324,138.90
  6. Step 6: Final answer
    x = 261,160.84

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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.