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Finding the Fourth Proportional to 416,472.40, 624,643.80 and 116,923.60

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Solution

The fourth proportional to 416,472.40, 624,643.80 and 116,923.60 is: 175,367.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,472.40 : 624,643.80 = 116,923.60 : x
  2. Step 2: Convert to fraction form
    416,472.40/624,643.80 = 116,923.60/x
  3. Step 3: Cross multiply
    416,472.40x = 624,643.80 × 116,923.60
  4. Step 4: Simplify right side
    416,472.40x = 73,035,601,813.68
  5. Step 5: Solve for x
    x = 73,035,601,813.68/416,472.40
  6. Step 6: Final answer
    x = 175,367.21

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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.