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Finding the Fourth Proportional to 230,876.10, 346,314.15 and 205,992.90

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Solution

The fourth proportional to 230,876.10, 346,314.15 and 205,992.90 is: 308,989.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,876.10 : 346,314.15 = 205,992.90 : x
  2. Step 2: Convert to fraction form
    230,876.10/346,314.15 = 205,992.90/x
  3. Step 3: Cross multiply
    230,876.10x = 346,314.15 × 205,992.90
  4. Step 4: Simplify right side
    230,876.10x = 71,338,256,069.54
  5. Step 5: Solve for x
    x = 71,338,256,069.54/230,876.10
  6. Step 6: Final answer
    x = 308,989.35

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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.