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Finding the Fourth Proportional to 273,894.80, 411,533.40 and 174,102.80

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Solution

The fourth proportional to 273,894.80, 411,533.40 and 174,102.80 is: 261,593.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,894.80 : 411,533.40 = 174,102.80 : x
  2. Step 2: Convert to fraction form
    273,894.80/411,533.40 = 174,102.80/x
  3. Step 3: Cross multiply
    273,894.80x = 411,533.40 × 174,102.80
  4. Step 4: Simplify right side
    273,894.80x = 71,649,117,233.52
  5. Step 5: Solve for x
    x = 71,649,117,233.52/273,894.80
  6. Step 6: Final answer
    x = 261,593.57

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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.