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Finding the Fourth Proportional to 406,683.28, 610,106.46 and 140,453.56

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Solution

The fourth proportional to 406,683.28, 610,106.46 and 140,453.56 is: 210,708.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,683.28 : 610,106.46 = 140,453.56 : x
  2. Step 2: Convert to fraction form
    406,683.28/610,106.46 = 140,453.56/x
  3. Step 3: Cross multiply
    406,683.28x = 610,106.46 × 140,453.56
  4. Step 4: Simplify right side
    406,683.28x = 85,691,624,286.00
  5. Step 5: Solve for x
    x = 85,691,624,286.00/406,683.28
  6. Step 6: Final answer
    x = 210,708.50

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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.