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Finding the Fourth Proportional to 438,957.60, 658,533.60 and 202,243.20

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Solution

The fourth proportional to 438,957.60, 658,533.60 and 202,243.20 is: 303,409.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,957.60 : 658,533.60 = 202,243.20 : x
  2. Step 2: Convert to fraction form
    438,957.60/658,533.60 = 202,243.20/x
  3. Step 3: Cross multiply
    438,957.60x = 658,533.60 × 202,243.20
  4. Step 4: Simplify right side
    438,957.60x = 133,183,942,571.52
  5. Step 5: Solve for x
    x = 133,183,942,571.52/438,957.60
  6. Step 6: Final answer
    x = 303,409.58

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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.