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Finding the Fourth Proportional to 275,345.06, 413,022.12 and 75,664.20

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Solution

The fourth proportional to 275,345.06, 413,022.12 and 75,664.20 is: 113,497.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,345.06 : 413,022.12 = 75,664.20 : x
  2. Step 2: Convert to fraction form
    275,345.06/413,022.12 = 75,664.20/x
  3. Step 3: Cross multiply
    275,345.06x = 413,022.12 × 75,664.20
  4. Step 4: Simplify right side
    275,345.06x = 31,250,988,292.10
  5. Step 5: Solve for x
    x = 31,250,988,292.10/275,345.06
  6. Step 6: Final answer
    x = 113,497.54

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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.