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Finding the Fourth Proportional to 362,346.56, 500,084.38 and 219,107.63

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Solution

The fourth proportional to 362,346.56, 500,084.38 and 219,107.63 is: 302,396.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,346.56 : 500,084.38 = 219,107.63 : x
  2. Step 2: Convert to fraction form
    362,346.56/500,084.38 = 219,107.63/x
  3. Step 3: Cross multiply
    362,346.56x = 500,084.38 × 219,107.63
  4. Step 4: Simplify right side
    362,346.56x = 109,572,304,825.92
  5. Step 5: Solve for x
    x = 109,572,304,825.92/362,346.56
  6. Step 6: Final answer
    x = 302,396.42

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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.