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Finding the Fourth Proportional to 405,907.90, 608,849.30 and 192,829.20

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Solution

The fourth proportional to 405,907.90, 608,849.30 and 192,829.20 is: 289,237.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,907.90 : 608,849.30 = 192,829.20 : x
  2. Step 2: Convert to fraction form
    405,907.90/608,849.30 = 192,829.20/x
  3. Step 3: Cross multiply
    405,907.90x = 608,849.30 × 192,829.20
  4. Step 4: Simplify right side
    405,907.90x = 117,403,923,439.56
  5. Step 5: Solve for x
    x = 117,403,923,439.56/405,907.90
  6. Step 6: Final answer
    x = 289,237.84

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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.