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Finding the Fourth Proportional to 418,498.38, 576,731.39 and 303,578.82

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Solution

The fourth proportional to 418,498.38, 576,731.39 and 303,578.82 is: 418,361.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,498.38 : 576,731.39 = 303,578.82 : x
  2. Step 2: Convert to fraction form
    418,498.38/576,731.39 = 303,578.82/x
  3. Step 3: Cross multiply
    418,498.38x = 576,731.39 × 303,578.82
  4. Step 4: Simplify right side
    418,498.38x = 175,083,433,315.27
  5. Step 5: Solve for x
    x = 175,083,433,315.27/418,498.38
  6. Step 6: Final answer
    x = 418,361.08

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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.