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Finding the Fourth Proportional to 469,160.73, 647,383.86 and 333,145.05

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Solution

The fourth proportional to 469,160.73, 647,383.86 and 333,145.05 is: 459,699.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,160.73 : 647,383.86 = 333,145.05 : x
  2. Step 2: Convert to fraction form
    469,160.73/647,383.86 = 333,145.05/x
  3. Step 3: Cross multiply
    469,160.73x = 647,383.86 × 333,145.05
  4. Step 4: Simplify right side
    469,160.73x = 215,672,728,217.28
  5. Step 5: Solve for x
    x = 215,672,728,217.28/469,160.73
  6. Step 6: Final answer
    x = 459,699.02

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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.