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Finding the Fourth Proportional to 498,188.07, 747,293.65 and 178,361.80

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Solution

The fourth proportional to 498,188.07, 747,293.65 and 178,361.80 is: 267,546.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,188.07 : 747,293.65 = 178,361.80 : x
  2. Step 2: Convert to fraction form
    498,188.07/747,293.65 = 178,361.80/x
  3. Step 3: Cross multiply
    498,188.07x = 747,293.65 × 178,361.80
  4. Step 4: Simplify right side
    498,188.07x = 133,288,638,228.43
  5. Step 5: Solve for x
    x = 133,288,638,228.43/498,188.07
  6. Step 6: Final answer
    x = 267,546.83

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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.