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Finding the Fourth Proportional to 546,593.16, 819,627.30 and 309,872.28

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Solution

The fourth proportional to 546,593.16, 819,627.30 and 309,872.28 is: 464,659.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,593.16 : 819,627.30 = 309,872.28 : x
  2. Step 2: Convert to fraction form
    546,593.16/819,627.30 = 309,872.28/x
  3. Step 3: Cross multiply
    546,593.16x = 819,627.30 × 309,872.28
  4. Step 4: Simplify right side
    546,593.16x = 253,979,780,201.24
  5. Step 5: Solve for x
    x = 253,979,780,201.24/546,593.16
  6. Step 6: Final answer
    x = 464,659.64

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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.