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Finding the Fourth Proportional to 673,194.33, 929,098.28 and 428,202.95

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Solution

The fourth proportional to 673,194.33, 929,098.28 and 428,202.95 is: 590,977.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,194.33 : 929,098.28 = 428,202.95 : x
  2. Step 2: Convert to fraction form
    673,194.33/929,098.28 = 428,202.95/x
  3. Step 3: Cross multiply
    673,194.33x = 929,098.28 × 428,202.95
  4. Step 4: Simplify right side
    673,194.33x = 397,842,620,760.94
  5. Step 5: Solve for x
    x = 397,842,620,760.94/673,194.33
  6. Step 6: Final answer
    x = 590,977.38

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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.