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Finding the Fourth Proportional to 472,982.98, 652,730.34 and 258,136.84

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Solution

The fourth proportional to 472,982.98, 652,730.34 and 258,136.84 is: 356,236.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,982.98 : 652,730.34 = 258,136.84 : x
  2. Step 2: Convert to fraction form
    472,982.98/652,730.34 = 258,136.84/x
  3. Step 3: Cross multiply
    472,982.98x = 652,730.34 × 258,136.84
  4. Step 4: Simplify right side
    472,982.98x = 168,493,747,339.73
  5. Step 5: Solve for x
    x = 168,493,747,339.73/472,982.98
  6. Step 6: Final answer
    x = 356,236.39

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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.