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Finding the Fourth Proportional to 367,199.46, 506,730.51 and 206,057.70

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Solution

The fourth proportional to 367,199.46, 506,730.51 and 206,057.70 is: 284,356.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,199.46 : 506,730.51 = 206,057.70 : x
  2. Step 2: Convert to fraction form
    367,199.46/506,730.51 = 206,057.70/x
  3. Step 3: Cross multiply
    367,199.46x = 506,730.51 × 206,057.70
  4. Step 4: Simplify right side
    367,199.46x = 104,415,723,410.43
  5. Step 5: Solve for x
    x = 104,415,723,410.43/367,199.46
  6. Step 6: Final answer
    x = 284,356.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.