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Finding the Fourth Proportional to 416,530.80, 625,087.80 and 180,043.20

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Solution

The fourth proportional to 416,530.80, 625,087.80 and 180,043.20 is: 270,190.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,530.80 : 625,087.80 = 180,043.20 : x
  2. Step 2: Convert to fraction form
    416,530.80/625,087.80 = 180,043.20/x
  3. Step 3: Cross multiply
    416,530.80x = 625,087.80 × 180,043.20
  4. Step 4: Simplify right side
    416,530.80x = 112,542,807,792.96
  5. Step 5: Solve for x
    x = 112,542,807,792.96/416,530.80
  6. Step 6: Final answer
    x = 270,190.84

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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.