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Finding the Fourth Proportional to 230,744.10, 346,116.15 and 199,640.10

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Solution

The fourth proportional to 230,744.10, 346,116.15 and 199,640.10 is: 299,460.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,744.10 : 346,116.15 = 199,640.10 : x
  2. Step 2: Convert to fraction form
    230,744.10/346,116.15 = 199,640.10/x
  3. Step 3: Cross multiply
    230,744.10x = 346,116.15 × 199,640.10
  4. Step 4: Simplify right side
    230,744.10x = 69,098,662,797.62
  5. Step 5: Solve for x
    x = 69,098,662,797.62/230,744.10
  6. Step 6: Final answer
    x = 299,460.15

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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.