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Finding the Fourth Proportional to 378,059.05, 521,730.89 and 232,809.85

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Solution

The fourth proportional to 378,059.05, 521,730.89 and 232,809.85 is: 321,283.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,059.05 : 521,730.89 = 232,809.85 : x
  2. Step 2: Convert to fraction form
    378,059.05/521,730.89 = 232,809.85/x
  3. Step 3: Cross multiply
    378,059.05x = 521,730.89 × 232,809.85
  4. Step 4: Simplify right side
    378,059.05x = 121,464,090,241.27
  5. Step 5: Solve for x
    x = 121,464,090,241.27/378,059.05
  6. Step 6: Final answer
    x = 321,283.38

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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.