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Finding the Fourth Proportional to 298,806, 448,285.80 and 101,814

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Solution

The fourth proportional to 298,806, 448,285.80 and 101,814 is: 152,747.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,806 : 448,285.80 = 101,814 : x
  2. Step 2: Convert to fraction form
    298,806/448,285.80 = 101,814/x
  3. Step 3: Cross multiply
    298,806x = 448,285.80 × 101,814
  4. Step 4: Simplify right side
    298,806x = 45,641,770,441.20
  5. Step 5: Solve for x
    x = 45,641,770,441.20/298,806
  6. Step 6: Final answer
    x = 152,747.17

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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.