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Finding the Fourth Proportional to 410,682.13, 614,524.49 and 242,283.13

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Solution

The fourth proportional to 410,682.13, 614,524.49 and 242,283.13 is: 362,540.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,682.13 : 614,524.49 = 242,283.13 : x
  2. Step 2: Convert to fraction form
    410,682.13/614,524.49 = 242,283.13/x
  3. Step 3: Cross multiply
    410,682.13x = 614,524.49 × 242,283.13
  4. Step 4: Simplify right side
    410,682.13x = 148,888,917,504.56
  5. Step 5: Solve for x
    x = 148,888,917,504.56/410,682.13
  6. Step 6: Final answer
    x = 362,540.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.