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Finding the Fourth Proportional to 316,507.28, 436,583.32 and 195,685.52

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Solution

The fourth proportional to 316,507.28, 436,583.32 and 195,685.52 is: 269,924.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,507.28 : 436,583.32 = 195,685.52 : x
  2. Step 2: Convert to fraction form
    316,507.28/436,583.32 = 195,685.52/x
  3. Step 3: Cross multiply
    316,507.28x = 436,583.32 × 195,685.52
  4. Step 4: Simplify right side
    316,507.28x = 85,433,033,997.53
  5. Step 5: Solve for x
    x = 85,433,033,997.53/316,507.28
  6. Step 6: Final answer
    x = 269,924.39

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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.