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Finding the Fourth Proportional to 473,146.80, 652,855.23 and 269,185.82

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Solution

The fourth proportional to 473,146.80, 652,855.23 and 269,185.82 is: 371,426.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,146.80 : 652,855.23 = 269,185.82 : x
  2. Step 2: Convert to fraction form
    473,146.80/652,855.23 = 269,185.82/x
  3. Step 3: Cross multiply
    473,146.80x = 652,855.23 × 269,185.82
  4. Step 4: Simplify right side
    473,146.80x = 175,739,367,164.56
  5. Step 5: Solve for x
    x = 175,739,367,164.56/473,146.80
  6. Step 6: Final answer
    x = 371,426.73

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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.