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Finding the Fourth Proportional to 362,197.20, 542,858.40 and 184,612.80

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Solution

The fourth proportional to 362,197.20, 542,858.40 and 184,612.80 is: 276,696.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,197.20 : 542,858.40 = 184,612.80 : x
  2. Step 2: Convert to fraction form
    362,197.20/542,858.40 = 184,612.80/x
  3. Step 3: Cross multiply
    362,197.20x = 542,858.40 × 184,612.80
  4. Step 4: Simplify right side
    362,197.20x = 100,218,609,227.52
  5. Step 5: Solve for x
    x = 100,218,609,227.52/362,197.20
  6. Step 6: Final answer
    x = 276,696.26

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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.