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Finding the Fourth Proportional to 290,822.80, 436,234.20 and 262,829.20

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Solution

The fourth proportional to 290,822.80, 436,234.20 and 262,829.20 is: 394,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,822.80 : 436,234.20 = 262,829.20 : x
  2. Step 2: Convert to fraction form
    290,822.80/436,234.20 = 262,829.20/x
  3. Step 3: Cross multiply
    290,822.80x = 436,234.20 × 262,829.20
  4. Step 4: Simplify right side
    290,822.80x = 114,655,085,798.64
  5. Step 5: Solve for x
    x = 114,655,085,798.64/290,822.80
  6. Step 6: Final answer
    x = 394,243.80

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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.