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Finding the Fourth Proportional to 490,163.54, 676,599.50 and 296,581.24

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Solution

The fourth proportional to 490,163.54, 676,599.50 and 296,581.24 is: 409,387.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,163.54 : 676,599.50 = 296,581.24 : x
  2. Step 2: Convert to fraction form
    490,163.54/676,599.50 = 296,581.24/x
  3. Step 3: Cross multiply
    490,163.54x = 676,599.50 × 296,581.24
  4. Step 4: Simplify right side
    490,163.54x = 200,666,718,693.38
  5. Step 5: Solve for x
    x = 200,666,718,693.38/490,163.54
  6. Step 6: Final answer
    x = 409,387.28

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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.