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Finding the Fourth Proportional to 303,264, 418,369.05 and 175,865.82

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Solution

The fourth proportional to 303,264, 418,369.05 and 175,865.82 is: 242,616.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,264 : 418,369.05 = 175,865.82 : x
  2. Step 2: Convert to fraction form
    303,264/418,369.05 = 175,865.82/x
  3. Step 3: Cross multiply
    303,264x = 418,369.05 × 175,865.82
  4. Step 4: Simplify right side
    303,264x = 73,576,816,040.87
  5. Step 5: Solve for x
    x = 73,576,816,040.87/303,264
  6. Step 6: Final answer
    x = 242,616.39

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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.