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Finding the Fourth Proportional to 407,634.98, 562,581.23 and 233,221.38

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Solution

The fourth proportional to 407,634.98, 562,581.23 and 233,221.38 is: 321,871.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,634.98 : 562,581.23 = 233,221.38 : x
  2. Step 2: Convert to fraction form
    407,634.98/562,581.23 = 233,221.38/x
  3. Step 3: Cross multiply
    407,634.98x = 562,581.23 × 233,221.38
  4. Step 4: Simplify right side
    407,634.98x = 131,205,973,605.56
  5. Step 5: Solve for x
    x = 131,205,973,605.56/407,634.98
  6. Step 6: Final answer
    x = 321,871.24

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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.