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Finding the Fourth Proportional to 362,523.18, 543,840.09 and 184,933.29

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Solution

The fourth proportional to 362,523.18, 543,840.09 and 184,933.29 is: 277,428.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,523.18 : 543,840.09 = 184,933.29 : x
  2. Step 2: Convert to fraction form
    362,523.18/543,840.09 = 184,933.29/x
  3. Step 3: Cross multiply
    362,523.18x = 543,840.09 × 184,933.29
  4. Step 4: Simplify right side
    362,523.18x = 100,574,137,077.60
  5. Step 5: Solve for x
    x = 100,574,137,077.60/362,523.18
  6. Step 6: Final answer
    x = 277,428.16

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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.