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Finding the Fourth Proportional to 273,232.40, 409,848.60 and 184,002.80

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Solution

The fourth proportional to 273,232.40, 409,848.60 and 184,002.80 is: 276,004.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,232.40 : 409,848.60 = 184,002.80 : x
  2. Step 2: Convert to fraction form
    273,232.40/409,848.60 = 184,002.80/x
  3. Step 3: Cross multiply
    273,232.40x = 409,848.60 × 184,002.80
  4. Step 4: Simplify right side
    273,232.40x = 75,413,289,976.08
  5. Step 5: Solve for x
    x = 75,413,289,976.08/273,232.40
  6. Step 6: Final answer
    x = 276,004.20

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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.