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Finding the Fourth Proportional to 275,902.46, 413,886.09 and 98,434.70

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Solution

The fourth proportional to 275,902.46, 413,886.09 and 98,434.70 is: 147,663.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,902.46 : 413,886.09 = 98,434.70 : x
  2. Step 2: Convert to fraction form
    275,902.46/413,886.09 = 98,434.70/x
  3. Step 3: Cross multiply
    275,902.46x = 413,886.09 × 98,434.70
  4. Step 4: Simplify right side
    275,902.46x = 40,740,751,033.89
  5. Step 5: Solve for x
    x = 40,740,751,033.89/275,902.46
  6. Step 6: Final answer
    x = 147,663.60

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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.