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Finding the Fourth Proportional to 405,710.65, 608,388.43 and 192,539.67

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Solution

The fourth proportional to 405,710.65, 608,388.43 and 192,539.67 is: 288,725.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,710.65 : 608,388.43 = 192,539.67 : x
  2. Step 2: Convert to fraction form
    405,710.65/608,388.43 = 192,539.67/x
  3. Step 3: Cross multiply
    405,710.65x = 608,388.43 × 192,539.67
  4. Step 4: Simplify right side
    405,710.65x = 117,138,907,544.02
  5. Step 5: Solve for x
    x = 117,138,907,544.02/405,710.65
  6. Step 6: Final answer
    x = 288,725.25

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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.