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Finding the Fourth Proportional to 275,465.68, 413,227.32 and 97,989.04

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Solution

The fourth proportional to 275,465.68, 413,227.32 and 97,989.04 is: 146,993.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,465.68 : 413,227.32 = 97,989.04 : x
  2. Step 2: Convert to fraction form
    275,465.68/413,227.32 = 97,989.04/x
  3. Step 3: Cross multiply
    275,465.68x = 413,227.32 × 97,989.04
  4. Step 4: Simplify right side
    275,465.68x = 40,491,748,388.57
  5. Step 5: Solve for x
    x = 40,491,748,388.57/275,465.68
  6. Step 6: Final answer
    x = 146,993.80

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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.