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Finding the Fourth Proportional to 406,092.90, 560,414.81 and 222,328.37

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Solution

The fourth proportional to 406,092.90, 560,414.81 and 222,328.37 is: 306,816.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,092.90 : 560,414.81 = 222,328.37 : x
  2. Step 2: Convert to fraction form
    406,092.90/560,414.81 = 222,328.37/x
  3. Step 3: Cross multiply
    406,092.90x = 560,414.81 × 222,328.37
  4. Step 4: Simplify right side
    406,092.90x = 124,596,107,317.44
  5. Step 5: Solve for x
    x = 124,596,107,317.44/406,092.90
  6. Step 6: Final answer
    x = 306,816.76

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1.5x scale

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.