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Finding the Fourth Proportional to 468,057.73, 645,922.83 and 286,770.01

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Solution

The fourth proportional to 468,057.73, 645,922.83 and 286,770.01 is: 395,744.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,057.73 : 645,922.83 = 286,770.01 : x
  2. Step 2: Convert to fraction form
    468,057.73/645,922.83 = 286,770.01/x
  3. Step 3: Cross multiply
    468,057.73x = 645,922.83 × 286,770.01
  4. Step 4: Simplify right side
    468,057.73x = 185,231,296,418.33
  5. Step 5: Solve for x
    x = 185,231,296,418.33/468,057.73
  6. Step 6: Final answer
    x = 395,744.55

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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.