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Finding the Fourth Proportional to 531,199.14, 733,028.72 and 289,480.97

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Solution

The fourth proportional to 531,199.14, 733,028.72 and 289,480.97 is: 399,469.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,199.14 : 733,028.72 = 289,480.97 : x
  2. Step 2: Convert to fraction form
    531,199.14/733,028.72 = 289,480.97/x
  3. Step 3: Cross multiply
    531,199.14x = 733,028.72 × 289,480.97
  4. Step 4: Simplify right side
    531,199.14x = 212,197,859,790.91
  5. Step 5: Solve for x
    x = 212,197,859,790.91/531,199.14
  6. Step 6: Final answer
    x = 399,469.51

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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.