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Finding the Fourth Proportional to 472,949.96, 652,684.77 and 258,103.80

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Solution

The fourth proportional to 472,949.96, 652,684.77 and 258,103.80 is: 356,190.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,949.96 : 652,684.77 = 258,103.80 : x
  2. Step 2: Convert to fraction form
    472,949.96/652,684.77 = 258,103.80/x
  3. Step 3: Cross multiply
    472,949.96x = 652,684.77 × 258,103.80
  4. Step 4: Simplify right side
    472,949.96x = 168,460,419,339.13
  5. Step 5: Solve for x
    x = 168,460,419,339.13/472,949.96
  6. Step 6: Final answer
    x = 356,190.79

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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.