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Finding the Fourth Proportional to 275,949.46, 413,983.92 and 83,808.15

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Solution

The fourth proportional to 275,949.46, 413,983.92 and 83,808.15 is: 125,730.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,949.46 : 413,983.92 = 83,808.15 : x
  2. Step 2: Convert to fraction form
    275,949.46/413,983.92 = 83,808.15/x
  3. Step 3: Cross multiply
    275,949.46x = 413,983.92 × 83,808.15
  4. Step 4: Simplify right side
    275,949.46x = 34,695,226,464.95
  5. Step 5: Solve for x
    x = 34,695,226,464.95/275,949.46
  6. Step 6: Final answer
    x = 125,730.37

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1.5x scale

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.