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Finding the Fourth Proportional to 498,584.10, 747,730.35 and 178,698.90

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Solution

The fourth proportional to 498,584.10, 747,730.35 and 178,698.90 is: 267,996.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,584.10 : 747,730.35 = 178,698.90 : x
  2. Step 2: Convert to fraction form
    498,584.10/747,730.35 = 178,698.90/x
  3. Step 3: Cross multiply
    498,584.10x = 747,730.35 × 178,698.90
  4. Step 4: Simplify right side
    498,584.10x = 133,618,591,041.62
  5. Step 5: Solve for x
    x = 133,618,591,041.62/498,584.10
  6. Step 6: Final answer
    x = 267,996.09

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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.