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Finding the Fourth Proportional to 275,343.06, 413,019.12 and 75,662.20

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Solution

The fourth proportional to 275,343.06, 413,019.12 and 75,662.20 is: 113,494.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,343.06 : 413,019.12 = 75,662.20 : x
  2. Step 2: Convert to fraction form
    275,343.06/413,019.12 = 75,662.20/x
  3. Step 3: Cross multiply
    275,343.06x = 413,019.12 × 75,662.20
  4. Step 4: Simplify right side
    275,343.06x = 31,249,935,261.26
  5. Step 5: Solve for x
    x = 31,249,935,261.26/275,343.06
  6. Step 6: Final answer
    x = 113,494.54

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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.