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Finding the Fourth Proportional to 406,185.92, 560,543.52 and 222,440.64

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Solution

The fourth proportional to 406,185.92, 560,543.52 and 222,440.64 is: 306,971.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,185.92 : 560,543.52 = 222,440.64 : x
  2. Step 2: Convert to fraction form
    406,185.92/560,543.52 = 222,440.64/x
  3. Step 3: Cross multiply
    406,185.92x = 560,543.52 × 222,440.64
  4. Step 4: Simplify right side
    406,185.92x = 124,687,659,336.65
  5. Step 5: Solve for x
    x = 124,687,659,336.65/406,185.92
  6. Step 6: Final answer
    x = 306,971.89

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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.