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Finding the Fourth Proportional to 494,957.40, 742,436.10 and 179,424.60

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Solution

The fourth proportional to 494,957.40, 742,436.10 and 179,424.60 is: 269,136.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,957.40 : 742,436.10 = 179,424.60 : x
  2. Step 2: Convert to fraction form
    494,957.40/742,436.10 = 179,424.60/x
  3. Step 3: Cross multiply
    494,957.40x = 742,436.10 × 179,424.60
  4. Step 4: Simplify right side
    494,957.40x = 133,211,300,268.06
  5. Step 5: Solve for x
    x = 133,211,300,268.06/494,957.40
  6. Step 6: Final answer
    x = 269,136.90

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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.