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Finding the Fourth Proportional to 531,242.30, 733,092.96 and 289,519.66

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Solution

The fourth proportional to 531,242.30, 733,092.96 and 289,519.66 is: 399,525.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,242.30 : 733,092.96 = 289,519.66 : x
  2. Step 2: Convert to fraction form
    531,242.30/733,092.96 = 289,519.66/x
  3. Step 3: Cross multiply
    531,242.30x = 733,092.96 × 289,519.66
  4. Step 4: Simplify right side
    531,242.30x = 212,244,824,527.59
  5. Step 5: Solve for x
    x = 212,244,824,527.59/531,242.30
  6. Step 6: Final answer
    x = 399,525.46

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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.