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Finding the Fourth Proportional to 531,694.38, 733,612.10 and 302,233.66

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Solution

The fourth proportional to 531,694.38, 733,612.10 and 302,233.66 is: 417,010.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,694.38 : 733,612.10 = 302,233.66 : x
  2. Step 2: Convert to fraction form
    531,694.38/733,612.10 = 302,233.66/x
  3. Step 3: Cross multiply
    531,694.38x = 733,612.10 × 302,233.66
  4. Step 4: Simplify right side
    531,694.38x = 221,722,266,658.09
  5. Step 5: Solve for x
    x = 221,722,266,658.09/531,694.38
  6. Step 6: Final answer
    x = 417,010.74

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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.