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Finding the Fourth Proportional to 384,482.72, 576,361.20 and 184,916

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Solution

The fourth proportional to 384,482.72, 576,361.20 and 184,916 is: 277,199.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,482.72 : 576,361.20 = 184,916 : x
  2. Step 2: Convert to fraction form
    384,482.72/576,361.20 = 184,916/x
  3. Step 3: Cross multiply
    384,482.72x = 576,361.20 × 184,916
  4. Step 4: Simplify right side
    384,482.72x = 106,578,407,659.20
  5. Step 5: Solve for x
    x = 106,578,407,659.20/384,482.72
  6. Step 6: Final answer
    x = 277,199.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.