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Finding the Fourth Proportional to 468,253.28, 645,983.43 and 274,562.64

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Solution

The fourth proportional to 468,253.28, 645,983.43 and 274,562.64 is: 378,775.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,253.28 : 645,983.43 = 274,562.64 : x
  2. Step 2: Convert to fraction form
    468,253.28/645,983.43 = 274,562.64/x
  3. Step 3: Cross multiply
    468,253.28x = 645,983.43 × 274,562.64
  4. Step 4: Simplify right side
    468,253.28x = 177,362,915,937.06
  5. Step 5: Solve for x
    x = 177,362,915,937.06/468,253.28
  6. Step 6: Final answer
    x = 378,775.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.