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Finding the Fourth Proportional to 406,936.80, 610,259.40 and 207,190.80

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Solution

The fourth proportional to 406,936.80, 610,259.40 and 207,190.80 is: 310,711.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,936.80 : 610,259.40 = 207,190.80 : x
  2. Step 2: Convert to fraction form
    406,936.80/610,259.40 = 207,190.80/x
  3. Step 3: Cross multiply
    406,936.80x = 610,259.40 × 207,190.80
  4. Step 4: Simplify right side
    406,936.80x = 126,440,133,293.52
  5. Step 5: Solve for x
    x = 126,440,133,293.52/406,936.80
  6. Step 6: Final answer
    x = 310,711.97

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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.