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Finding the Fourth Proportional to 531,216.46, 733,057.33 and 289,493.84

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Solution

The fourth proportional to 531,216.46, 733,057.33 and 289,493.84 is: 399,489.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,216.46 : 733,057.33 = 289,493.84 : x
  2. Step 2: Convert to fraction form
    531,216.46/733,057.33 = 289,493.84/x
  3. Step 3: Cross multiply
    531,216.46x = 733,057.33 × 289,493.84
  4. Step 4: Simplify right side
    531,216.46x = 212,215,579,954.38
  5. Step 5: Solve for x
    x = 212,215,579,954.38/531,216.46
  6. Step 6: Final answer
    x = 399,489.85

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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.