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Finding the Fourth Proportional to 316,241.30, 436,542.84 and 214,406.24

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Solution

The fourth proportional to 316,241.30, 436,542.84 and 214,406.24 is: 295,968.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,241.30 : 436,542.84 = 214,406.24 : x
  2. Step 2: Convert to fraction form
    316,241.30/436,542.84 = 214,406.24/x
  3. Step 3: Cross multiply
    316,241.30x = 436,542.84 × 214,406.24
  4. Step 4: Simplify right side
    316,241.30x = 93,597,508,923.32
  5. Step 5: Solve for x
    x = 93,597,508,923.32/316,241.30
  6. Step 6: Final answer
    x = 295,968.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.