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Finding the Fourth Proportional to 297,992.52, 447,015.78 and 98,313.48

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Solution

The fourth proportional to 297,992.52, 447,015.78 and 98,313.48 is: 147,479.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,992.52 : 447,015.78 = 98,313.48 : x
  2. Step 2: Convert to fraction form
    297,992.52/447,015.78 = 98,313.48/x
  3. Step 3: Cross multiply
    297,992.52x = 447,015.78 × 98,313.48
  4. Step 4: Simplify right side
    297,992.52x = 43,947,676,946.71
  5. Step 5: Solve for x
    x = 43,947,676,946.71/297,992.52
  6. Step 6: Final answer
    x = 147,479.13

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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.