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Finding the Fourth Proportional to 298,598.52, 447,960.96 and 98,907.60

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Solution

The fourth proportional to 298,598.52, 447,960.96 and 98,907.60 is: 148,382.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,598.52 : 447,960.96 = 98,907.60 : x
  2. Step 2: Convert to fraction form
    298,598.52/447,960.96 = 98,907.60/x
  3. Step 3: Cross multiply
    298,598.52x = 447,960.96 × 98,907.60
  4. Step 4: Simplify right side
    298,598.52x = 44,306,743,447.30
  5. Step 5: Solve for x
    x = 44,306,743,447.30/298,598.52
  6. Step 6: Final answer
    x = 148,382.33

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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.