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Finding the Fourth Proportional to 506,732.05, 699,298.41 and 277,309.27

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Solution

The fourth proportional to 506,732.05, 699,298.41 and 277,309.27 is: 382,691.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,732.05 : 699,298.41 = 277,309.27 : x
  2. Step 2: Convert to fraction form
    506,732.05/699,298.41 = 277,309.27/x
  3. Step 3: Cross multiply
    506,732.05x = 699,298.41 × 277,309.27
  4. Step 4: Simplify right side
    506,732.05x = 193,921,931,589.26
  5. Step 5: Solve for x
    x = 193,921,931,589.26/506,732.05
  6. Step 6: Final answer
    x = 382,691.27

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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.