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Finding the Fourth Proportional to 599,869.38, 827,283.24 and 497,732.97

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Solution

The fourth proportional to 599,869.38, 827,283.24 and 497,732.97 is: 686,426.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,869.38 : 827,283.24 = 497,732.97 : x
  2. Step 2: Convert to fraction form
    599,869.38/827,283.24 = 497,732.97/x
  3. Step 3: Cross multiply
    599,869.38x = 827,283.24 × 497,732.97
  4. Step 4: Simplify right side
    599,869.38x = 411,766,144,076.42
  5. Step 5: Solve for x
    x = 411,766,144,076.42/599,869.38
  6. Step 6: Final answer
    x = 686,426.34

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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.