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Finding the Fourth Proportional to 235,713.71, 324,463.47 and 205,446.53

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Solution

The fourth proportional to 235,713.71, 324,463.47 and 205,446.53 is: 282,800.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,713.71 : 324,463.47 = 205,446.53 : x
  2. Step 2: Convert to fraction form
    235,713.71/324,463.47 = 205,446.53/x
  3. Step 3: Cross multiply
    235,713.71x = 324,463.47 × 205,446.53
  4. Step 4: Simplify right side
    235,713.71x = 66,659,894,023.26
  5. Step 5: Solve for x
    x = 66,659,894,023.26/235,713.71
  6. Step 6: Final answer
    x = 282,800.24

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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.