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Finding the Fourth Proportional to 297,805.54, 446,774.19 and 98,117.86

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Solution

The fourth proportional to 297,805.54, 446,774.19 and 98,117.86 is: 147,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,805.54 : 446,774.19 = 98,117.86 : x
  2. Step 2: Convert to fraction form
    297,805.54/446,774.19 = 98,117.86/x
  3. Step 3: Cross multiply
    297,805.54x = 446,774.19 × 98,117.86
  4. Step 4: Simplify right side
    297,805.54x = 43,836,527,426.03
  5. Step 5: Solve for x
    x = 43,836,527,426.03/297,805.54
  6. Step 6: Final answer
    x = 147,198.50

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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.