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Finding the Fourth Proportional to 531,192, 733,044.96 and 292,728

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Solution

The fourth proportional to 531,192, 733,044.96 and 292,728 is: 403,964.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,192 : 733,044.96 = 292,728 : x
  2. Step 2: Convert to fraction form
    531,192/733,044.96 = 292,728/x
  3. Step 3: Cross multiply
    531,192x = 733,044.96 × 292,728
  4. Step 4: Simplify right side
    531,192x = 214,582,785,050.88
  5. Step 5: Solve for x
    x = 214,582,785,050.88/531,192
  6. Step 6: Final answer
    x = 403,964.64

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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.