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Finding the Fourth Proportional to 362,205.20, 542,870.40 and 184,620.80

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Solution

The fourth proportional to 362,205.20, 542,870.40 and 184,620.80 is: 276,708.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,205.20 : 542,870.40 = 184,620.80 : x
  2. Step 2: Convert to fraction form
    362,205.20/542,870.40 = 184,620.80/x
  3. Step 3: Cross multiply
    362,205.20x = 542,870.40 × 184,620.80
  4. Step 4: Simplify right side
    362,205.20x = 100,225,167,544.32
  5. Step 5: Solve for x
    x = 100,225,167,544.32/362,205.20
  6. Step 6: Final answer
    x = 276,708.25

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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.