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Finding the Fourth Proportional to 407,283.44, 562,054.24 and 225,996.08

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Solution

The fourth proportional to 407,283.44, 562,054.24 and 225,996.08 is: 311,876.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,283.44 : 562,054.24 = 225,996.08 : x
  2. Step 2: Convert to fraction form
    407,283.44/562,054.24 = 225,996.08/x
  3. Step 3: Cross multiply
    407,283.44x = 562,054.24 × 225,996.08
  4. Step 4: Simplify right side
    407,283.44x = 127,022,054,987.38
  5. Step 5: Solve for x
    x = 127,022,054,987.38/407,283.44
  6. Step 6: Final answer
    x = 311,876.31

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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.