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Finding the Fourth Proportional to 546,593.66, 819,628.04 and 309,872.78

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Solution

The fourth proportional to 546,593.66, 819,628.04 and 309,872.78 is: 464,660.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,593.66 : 819,628.04 = 309,872.78 : x
  2. Step 2: Convert to fraction form
    546,593.66/819,628.04 = 309,872.78/x
  3. Step 3: Cross multiply
    546,593.66x = 819,628.04 × 309,872.78
  4. Step 4: Simplify right side
    546,593.66x = 253,980,419,320.75
  5. Step 5: Solve for x
    x = 253,980,419,320.75/546,593.66
  6. Step 6: Final answer
    x = 464,660.38

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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.