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Finding the Fourth Proportional to 231,000.80, 346,719.90 and 197,758.40

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Solution

The fourth proportional to 231,000.80, 346,719.90 and 197,758.40 is: 296,824.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,000.80 : 346,719.90 = 197,758.40 : x
  2. Step 2: Convert to fraction form
    231,000.80/346,719.90 = 197,758.40/x
  3. Step 3: Cross multiply
    231,000.80x = 346,719.90 × 197,758.40
  4. Step 4: Simplify right side
    231,000.80x = 68,566,772,672.16
  5. Step 5: Solve for x
    x = 68,566,772,672.16/231,000.80
  6. Step 6: Final answer
    x = 296,824.83

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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.