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Finding the Fourth Proportional to 230,711.40, 346,067.10 and 174,724.20

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Solution

The fourth proportional to 230,711.40, 346,067.10 and 174,724.20 is: 262,086.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,711.40 : 346,067.10 = 174,724.20 : x
  2. Step 2: Convert to fraction form
    230,711.40/346,067.10 = 174,724.20/x
  3. Step 3: Cross multiply
    230,711.40x = 346,067.10 × 174,724.20
  4. Step 4: Simplify right side
    230,711.40x = 60,466,297,193.82
  5. Step 5: Solve for x
    x = 60,466,297,193.82/230,711.40
  6. Step 6: Final answer
    x = 262,086.30

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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.