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Finding the Fourth Proportional to 407,290.17, 562,069.43 and 225,996.38

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Solution

The fourth proportional to 407,290.17, 562,069.43 and 225,996.38 is: 311,879.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,290.17 : 562,069.43 = 225,996.38 : x
  2. Step 2: Convert to fraction form
    407,290.17/562,069.43 = 225,996.38/x
  3. Step 3: Cross multiply
    407,290.17x = 562,069.43 × 225,996.38
  4. Step 4: Simplify right side
    407,290.17x = 127,025,652,548.33
  5. Step 5: Solve for x
    x = 127,025,652,548.33/407,290.17
  6. Step 6: Final answer
    x = 311,879.99

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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.