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Finding the Fourth Proportional to 362,204.70, 542,869.65 and 184,620.30

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Solution

The fourth proportional to 362,204.70, 542,869.65 and 184,620.30 is: 276,707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,204.70 : 542,869.65 = 184,620.30 : x
  2. Step 2: Convert to fraction form
    362,204.70/542,869.65 = 184,620.30/x
  3. Step 3: Cross multiply
    362,204.70x = 542,869.65 × 184,620.30
  4. Step 4: Simplify right side
    362,204.70x = 100,224,757,643.90
  5. Step 5: Solve for x
    x = 100,224,757,643.90/362,204.70
  6. Step 6: Final answer
    x = 276,707.50

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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.