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Finding the Fourth Proportional to 230,711.60, 346,067.40 and 205,828.40

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Solution

The fourth proportional to 230,711.60, 346,067.40 and 205,828.40 is: 308,742.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,711.60 : 346,067.40 = 205,828.40 : x
  2. Step 2: Convert to fraction form
    230,711.60/346,067.40 = 205,828.40/x
  3. Step 3: Cross multiply
    230,711.60x = 346,067.40 × 205,828.40
  4. Step 4: Simplify right side
    230,711.60x = 71,230,499,234.16
  5. Step 5: Solve for x
    x = 71,230,499,234.16/230,711.60
  6. Step 6: Final answer
    x = 308,742.60

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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.