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Finding the Fourth Proportional to 230,998.80, 346,716.90 and 197,756.40

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Solution

The fourth proportional to 230,998.80, 346,716.90 and 197,756.40 is: 296,821.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,998.80 : 346,716.90 = 197,756.40 : x
  2. Step 2: Convert to fraction form
    230,998.80/346,716.90 = 197,756.40/x
  3. Step 3: Cross multiply
    230,998.80x = 346,716.90 × 197,756.40
  4. Step 4: Simplify right side
    230,998.80x = 68,565,485,963.16
  5. Step 5: Solve for x
    x = 68,565,485,963.16/230,998.80
  6. Step 6: Final answer
    x = 296,821.83

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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.