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Finding the Fourth Proportional to 362,185.20, 542,840.40 and 184,600.80

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Solution

The fourth proportional to 362,185.20, 542,840.40 and 184,600.80 is: 276,678.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,185.20 : 542,840.40 = 184,600.80 : x
  2. Step 2: Convert to fraction form
    362,185.20/542,840.40 = 184,600.80/x
  3. Step 3: Cross multiply
    362,185.20x = 542,840.40 × 184,600.80
  4. Step 4: Simplify right side
    362,185.20x = 100,208,772,112.32
  5. Step 5: Solve for x
    x = 100,208,772,112.32/362,185.20
  6. Step 6: Final answer
    x = 276,678.26

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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.