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Finding the Fourth Proportional to 316,293.28, 436,441.62 and 188,941.84

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Solution

The fourth proportional to 316,293.28, 436,441.62 and 188,941.84 is: 260,713.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,293.28 : 436,441.62 = 188,941.84 : x
  2. Step 2: Convert to fraction form
    316,293.28/436,441.62 = 188,941.84/x
  3. Step 3: Cross multiply
    316,293.28x = 436,441.62 × 188,941.84
  4. Step 4: Simplify right side
    316,293.28x = 82,462,082,735.38
  5. Step 5: Solve for x
    x = 82,462,082,735.38/316,293.28
  6. Step 6: Final answer
    x = 260,713.99

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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.