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Finding the Fourth Proportional to 405,352.35, 559,386.38 and 221,591.73

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Solution

The fourth proportional to 405,352.35, 559,386.38 and 221,591.73 is: 305,796.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,352.35 : 559,386.38 = 221,591.73 : x
  2. Step 2: Convert to fraction form
    405,352.35/559,386.38 = 221,591.73/x
  3. Step 3: Cross multiply
    405,352.35x = 559,386.38 × 221,591.73
  4. Step 4: Simplify right side
    405,352.35x = 123,955,394,574.68
  5. Step 5: Solve for x
    x = 123,955,394,574.68/405,352.35
  6. Step 6: Final answer
    x = 305,796.66

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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.