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Finding the Fourth Proportional to 410,682.38, 614,524.87 and 242,283.38

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Solution

The fourth proportional to 410,682.38, 614,524.87 and 242,283.38 is: 362,540.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,682.38 : 614,524.87 = 242,283.38 : x
  2. Step 2: Convert to fraction form
    410,682.38/614,524.87 = 242,283.38/x
  3. Step 3: Cross multiply
    410,682.38x = 614,524.87 × 242,283.38
  4. Step 4: Simplify right side
    410,682.38x = 148,889,161,386.24
  5. Step 5: Solve for x
    x = 148,889,161,386.24/410,682.38
  6. Step 6: Final answer
    x = 362,540.90

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Why These Related Problems?

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