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Finding the Fourth Proportional to 406,387.70, 609,975.21 and 196,173.26

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Solution

The fourth proportional to 406,387.70, 609,975.21 and 196,173.26 is: 294,449.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,387.70 : 609,975.21 = 196,173.26 : x
  2. Step 2: Convert to fraction form
    406,387.70/609,975.21 = 196,173.26/x
  3. Step 3: Cross multiply
    406,387.70x = 609,975.21 × 196,173.26
  4. Step 4: Simplify right side
    406,387.70x = 119,660,824,334.59
  5. Step 5: Solve for x
    x = 119,660,824,334.59/406,387.70
  6. Step 6: Final answer
    x = 294,449.92

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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.