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Finding the Fourth Proportional to 412,230.48, 617,866.20 and 337,477.20

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Solution

The fourth proportional to 412,230.48, 617,866.20 and 337,477.20 is: 505,823.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,230.48 : 617,866.20 = 337,477.20 : x
  2. Step 2: Convert to fraction form
    412,230.48/617,866.20 = 337,477.20/x
  3. Step 3: Cross multiply
    412,230.48x = 617,866.20 × 337,477.20
  4. Step 4: Simplify right side
    412,230.48x = 208,515,755,150.64
  5. Step 5: Solve for x
    x = 208,515,755,150.64/412,230.48
  6. Step 6: Final answer
    x = 505,823.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.