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Finding the Fourth Proportional to 230,948.80, 346,423.20 and 197,123.20

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Solution

The fourth proportional to 230,948.80, 346,423.20 and 197,123.20 is: 295,684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,948.80 : 346,423.20 = 197,123.20 : x
  2. Step 2: Convert to fraction form
    230,948.80/346,423.20 = 197,123.20/x
  3. Step 3: Cross multiply
    230,948.80x = 346,423.20 × 197,123.20
  4. Step 4: Simplify right side
    230,948.80x = 68,288,049,738.24
  5. Step 5: Solve for x
    x = 68,288,049,738.24/230,948.80
  6. Step 6: Final answer
    x = 295,684.80

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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.