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Finding the Fourth Proportional to 650,932.94, 898,381.77 and 364,471.49

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Solution

The fourth proportional to 650,932.94, 898,381.77 and 364,471.49 is: 503,023.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,932.94 : 898,381.77 = 364,471.49 : x
  2. Step 2: Convert to fraction form
    650,932.94/898,381.77 = 364,471.49/x
  3. Step 3: Cross multiply
    650,932.94x = 898,381.77 × 364,471.49
  4. Step 4: Simplify right side
    650,932.94x = 327,434,542,300.74
  5. Step 5: Solve for x
    x = 327,434,542,300.74/650,932.94
  6. Step 6: Final answer
    x = 503,023.46

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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.