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Finding the Fourth Proportional to 408,133.40, 612,491.70 and 171,645.80

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Solution

The fourth proportional to 408,133.40, 612,491.70 and 171,645.80 is: 257,591.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,133.40 : 612,491.70 = 171,645.80 : x
  2. Step 2: Convert to fraction form
    408,133.40/612,491.70 = 171,645.80/x
  3. Step 3: Cross multiply
    408,133.40x = 612,491.70 × 171,645.80
  4. Step 4: Simplify right side
    408,133.40x = 105,131,627,839.86
  5. Step 5: Solve for x
    x = 105,131,627,839.86/408,133.40
  6. Step 6: Final answer
    x = 257,591.34

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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.