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Finding the Fourth Proportional to 469,163.73, 647,388 and 333,148.05

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Solution

The fourth proportional to 469,163.73, 647,388 and 333,148.05 is: 459,703.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,163.73 : 647,388 = 333,148.05 : x
  2. Step 2: Convert to fraction form
    469,163.73/647,388 = 333,148.05/x
  3. Step 3: Cross multiply
    469,163.73x = 647,388 × 333,148.05
  4. Step 4: Simplify right side
    469,163.73x = 215,676,049,793.40
  5. Step 5: Solve for x
    x = 215,676,049,793.40/469,163.73
  6. Step 6: Final answer
    x = 459,703.16

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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.