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Finding the Fourth Proportional to 495,651.69, 743,478.08 and 135,825.62

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Solution

The fourth proportional to 495,651.69, 743,478.08 and 135,825.62 is: 203,738.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,651.69 : 743,478.08 = 135,825.62 : x
  2. Step 2: Convert to fraction form
    495,651.69/743,478.08 = 135,825.62/x
  3. Step 3: Cross multiply
    495,651.69x = 743,478.08 × 135,825.62
  4. Step 4: Simplify right side
    495,651.69x = 100,983,366,775.89
  5. Step 5: Solve for x
    x = 100,983,366,775.89/495,651.69
  6. Step 6: Final answer
    x = 203,738.57

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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.