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Finding the Fourth Proportional to 406,984.20, 610,476.30 and 207,918.60

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Solution

The fourth proportional to 406,984.20, 610,476.30 and 207,918.60 is: 311,877.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,984.20 : 610,476.30 = 207,918.60 : x
  2. Step 2: Convert to fraction form
    406,984.20/610,476.30 = 207,918.60/x
  3. Step 3: Cross multiply
    406,984.20x = 610,476.30 × 207,918.60
  4. Step 4: Simplify right side
    406,984.20x = 126,929,377,629.18
  5. Step 5: Solve for x
    x = 126,929,377,629.18/406,984.20
  6. Step 6: Final answer
    x = 311,877.90

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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.