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Finding the Fourth Proportional to 531,301.76, 733,197 and 289,584.54

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Solution

The fourth proportional to 531,301.76, 733,197 and 289,584.54 is: 399,626.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,301.76 : 733,197 = 289,584.54 : x
  2. Step 2: Convert to fraction form
    531,301.76/733,197 = 289,584.54/x
  3. Step 3: Cross multiply
    531,301.76x = 733,197 × 289,584.54
  4. Step 4: Simplify right side
    531,301.76x = 212,322,515,974.38
  5. Step 5: Solve for x
    x = 212,322,515,974.38/531,301.76
  6. Step 6: Final answer
    x = 399,626.98

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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.