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Finding the Fourth Proportional to 310,200.43, 427,967.58 and 202,833.31

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Solution

The fourth proportional to 310,200.43, 427,967.58 and 202,833.31 is: 279,838.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,200.43 : 427,967.58 = 202,833.31 : x
  2. Step 2: Convert to fraction form
    310,200.43/427,967.58 = 202,833.31/x
  3. Step 3: Cross multiply
    310,200.43x = 427,967.58 × 202,833.31
  4. Step 4: Simplify right side
    310,200.43x = 86,806,080,824.09
  5. Step 5: Solve for x
    x = 86,806,080,824.09/310,200.43
  6. Step 6: Final answer
    x = 279,838.69

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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.