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Finding the Fourth Proportional to 275,823.80, 413,784.30 and 98,433.80

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Solution

The fourth proportional to 275,823.80, 413,784.30 and 98,433.80 is: 147,668.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,823.80 : 413,784.30 = 98,433.80 : x
  2. Step 2: Convert to fraction form
    275,823.80/413,784.30 = 98,433.80/x
  3. Step 3: Cross multiply
    275,823.80x = 413,784.30 × 98,433.80
  4. Step 4: Simplify right side
    275,823.80x = 40,730,361,029.34
  5. Step 5: Solve for x
    x = 40,730,361,029.34/275,823.80
  6. Step 6: Final answer
    x = 147,668.04

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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.