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Finding the Fourth Proportional to 419,258.91, 628,755.98 and 134,886.11

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Solution

The fourth proportional to 419,258.91, 628,755.98 and 134,886.11 is: 202,286.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,258.91 : 628,755.98 = 134,886.11 : x
  2. Step 2: Convert to fraction form
    419,258.91/628,755.98 = 134,886.11/x
  3. Step 3: Cross multiply
    419,258.91x = 628,755.98 × 134,886.11
  4. Step 4: Simplify right side
    419,258.91x = 84,810,444,463.23
  5. Step 5: Solve for x
    x = 84,810,444,463.23/419,258.91
  6. Step 6: Final answer
    x = 202,286.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.