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Finding the Fourth Proportional to 416,370.40, 624,490.80 and 116,821.60

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Solution

The fourth proportional to 416,370.40, 624,490.80 and 116,821.60 is: 175,214.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,370.40 : 624,490.80 = 116,821.60 : x
  2. Step 2: Convert to fraction form
    416,370.40/624,490.80 = 116,821.60/x
  3. Step 3: Cross multiply
    416,370.40x = 624,490.80 × 116,821.60
  4. Step 4: Simplify right side
    416,370.40x = 72,954,014,441.28
  5. Step 5: Solve for x
    x = 72,954,014,441.28/416,370.40
  6. Step 6: Final answer
    x = 175,214.22

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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.