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Finding the Fourth Proportional to 310,682.16, 428,737.30 and 174,716.06

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Solution

The fourth proportional to 310,682.16, 428,737.30 and 174,716.06 is: 241,105.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,682.16 : 428,737.30 = 174,716.06 : x
  2. Step 2: Convert to fraction form
    310,682.16/428,737.30 = 174,716.06/x
  3. Step 3: Cross multiply
    310,682.16x = 428,737.30 × 174,716.06
  4. Step 4: Simplify right side
    310,682.16x = 74,907,293,850.81
  5. Step 5: Solve for x
    x = 74,907,293,850.81/310,682.16
  6. Step 6: Final answer
    x = 241,105.88

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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.