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Finding the Fourth Proportional to 416,194.80, 624,378.60 and 135,733.20

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Solution

The fourth proportional to 416,194.80, 624,378.60 and 135,733.20 is: 203,627.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,194.80 : 624,378.60 = 135,733.20 : x
  2. Step 2: Convert to fraction form
    416,194.80/624,378.60 = 135,733.20/x
  3. Step 3: Cross multiply
    416,194.80x = 624,378.60 × 135,733.20
  4. Step 4: Simplify right side
    416,194.80x = 84,748,905,389.52
  5. Step 5: Solve for x
    x = 84,748,905,389.52/416,194.80
  6. Step 6: Final answer
    x = 203,627.98

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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.