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Finding the Fourth Proportional to 406,711.40, 610,412.70 and 327,914.60

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Solution

The fourth proportional to 406,711.40, 610,412.70 and 327,914.60 is: 492,150.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,711.40 : 610,412.70 = 327,914.60 : x
  2. Step 2: Convert to fraction form
    406,711.40/610,412.70 = 327,914.60/x
  3. Step 3: Cross multiply
    406,711.40x = 610,412.70 × 327,914.60
  4. Step 4: Simplify right side
    406,711.40x = 200,163,236,355.42
  5. Step 5: Solve for x
    x = 200,163,236,355.42/406,711.40
  6. Step 6: Final answer
    x = 492,150.54

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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.