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Finding the Fourth Proportional to 406,517.40, 560,986.20 and 245,379.24

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Solution

The fourth proportional to 406,517.40, 560,986.20 and 245,379.24 is: 338,618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,517.40 : 560,986.20 = 245,379.24 : x
  2. Step 2: Convert to fraction form
    406,517.40/560,986.20 = 245,379.24/x
  3. Step 3: Cross multiply
    406,517.40x = 560,986.20 × 245,379.24
  4. Step 4: Simplify right side
    406,517.40x = 137,654,367,406.49
  5. Step 5: Solve for x
    x = 137,654,367,406.49/406,517.40
  6. Step 6: Final answer
    x = 338,618.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.