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Finding the Fourth Proportional to 384,546.96, 576,015.84 and 309,260.16

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Solution

The fourth proportional to 384,546.96, 576,015.84 and 309,260.16 is: 463,243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,546.96 : 576,015.84 = 309,260.16 : x
  2. Step 2: Convert to fraction form
    384,546.96/576,015.84 = 309,260.16/x
  3. Step 3: Cross multiply
    384,546.96x = 576,015.84 × 309,260.16
  4. Step 4: Simplify right side
    384,546.96x = 178,138,750,840.93
  5. Step 5: Solve for x
    x = 178,138,750,840.93/384,546.96
  6. Step 6: Final answer
    x = 463,243.16

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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.