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Finding the Fourth Proportional to 405,735.63, 608,658.83 and 169,022.95

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Solution

The fourth proportional to 405,735.63, 608,658.83 and 169,022.95 is: 253,557.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,735.63 : 608,658.83 = 169,022.95 : x
  2. Step 2: Convert to fraction form
    405,735.63/608,658.83 = 169,022.95/x
  3. Step 3: Cross multiply
    405,735.63x = 608,658.83 × 169,022.95
  4. Step 4: Simplify right side
    405,735.63x = 102,877,313,156.31
  5. Step 5: Solve for x
    x = 102,877,313,156.31/405,735.63
  6. Step 6: Final answer
    x = 253,557.50

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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.