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Finding the Fourth Proportional to 297,976.98, 447,027.05 and 98,309.58

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Solution

The fourth proportional to 297,976.98, 447,027.05 and 98,309.58 is: 147,484.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,976.98 : 447,027.05 = 98,309.58 : x
  2. Step 2: Convert to fraction form
    297,976.98/447,027.05 = 98,309.58/x
  3. Step 3: Cross multiply
    297,976.98x = 447,027.05 × 98,309.58
  4. Step 4: Simplify right side
    297,976.98x = 43,947,041,534.14
  5. Step 5: Solve for x
    x = 43,947,041,534.14/297,976.98
  6. Step 6: Final answer
    x = 147,484.69

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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.