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Finding the Fourth Proportional to 650,933.94, 898,383.15 and 364,472.49

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Solution

The fourth proportional to 650,933.94, 898,383.15 and 364,472.49 is: 503,024.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,933.94 : 898,383.15 = 364,472.49 : x
  2. Step 2: Convert to fraction form
    650,933.94/898,383.15 = 364,472.49/x
  3. Step 3: Cross multiply
    650,933.94x = 898,383.15 × 364,472.49
  4. Step 4: Simplify right side
    650,933.94x = 327,435,943,654.54
  5. Step 5: Solve for x
    x = 327,435,943,654.54/650,933.94
  6. Step 6: Final answer
    x = 503,024.84

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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.