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Finding the Fourth Proportional to 297,993.52, 447,017.28 and 98,314.48

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Solution

The fourth proportional to 297,993.52, 447,017.28 and 98,314.48 is: 147,480.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,993.52 : 447,017.28 = 98,314.48 : x
  2. Step 2: Convert to fraction form
    297,993.52/447,017.28 = 98,314.48/x
  3. Step 3: Cross multiply
    297,993.52x = 447,017.28 × 98,314.48
  4. Step 4: Simplify right side
    297,993.52x = 43,948,271,434.21
  5. Step 5: Solve for x
    x = 43,948,271,434.21/297,993.52
  6. Step 6: Final answer
    x = 147,480.63

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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.