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Finding the Fourth Proportional to 416,357.50, 624,553.53 and 120,869.50

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Solution

The fourth proportional to 416,357.50, 624,553.53 and 120,869.50 is: 181,309.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,357.50 : 624,553.53 = 120,869.50 : x
  2. Step 2: Convert to fraction form
    416,357.50/624,553.53 = 120,869.50/x
  3. Step 3: Cross multiply
    416,357.50x = 624,553.53 × 120,869.50
  4. Step 4: Simplify right side
    416,357.50x = 75,489,472,894.34
  5. Step 5: Solve for x
    x = 75,489,472,894.34/416,357.50
  6. Step 6: Final answer
    x = 181,309.27

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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.