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Finding the Fourth Proportional to 405,984.90, 608,933.61 and 106,495.50

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Solution

The fourth proportional to 405,984.90, 608,933.61 and 106,495.50 is: 159,731.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,984.90 : 608,933.61 = 106,495.50 : x
  2. Step 2: Convert to fraction form
    405,984.90/608,933.61 = 106,495.50/x
  3. Step 3: Cross multiply
    405,984.90x = 608,933.61 × 106,495.50
  4. Step 4: Simplify right side
    405,984.90x = 64,848,689,263.76
  5. Step 5: Solve for x
    x = 64,848,689,263.76/405,984.90
  6. Step 6: Final answer
    x = 159,731.78

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