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Finding the Fourth Proportional to 531,193.14, 733,020.44 and 289,474.97

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Solution

The fourth proportional to 531,193.14, 733,020.44 and 289,474.97 is: 399,461.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,193.14 : 733,020.44 = 289,474.97 : x
  2. Step 2: Convert to fraction form
    531,193.14/733,020.44 = 289,474.97/x
  3. Step 3: Cross multiply
    531,193.14x = 733,020.44 × 289,474.97
  4. Step 4: Simplify right side
    531,193.14x = 212,191,064,765.91
  5. Step 5: Solve for x
    x = 212,191,064,765.91/531,193.14
  6. Step 6: Final answer
    x = 399,461.23

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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.