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Finding the Fourth Proportional to 275,336.60, 412,907.70 and 97,849.40

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Solution

The fourth proportional to 275,336.60, 412,907.70 and 97,849.40 is: 146,739.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,336.60 : 412,907.70 = 97,849.40 : x
  2. Step 2: Convert to fraction form
    275,336.60/412,907.70 = 97,849.40/x
  3. Step 3: Cross multiply
    275,336.60x = 412,907.70 × 97,849.40
  4. Step 4: Simplify right side
    275,336.60x = 40,402,770,700.38
  5. Step 5: Solve for x
    x = 40,402,770,700.38/275,336.60
  6. Step 6: Final answer
    x = 146,739.56

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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.