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Finding the Fourth Proportional to 416,029.20, 624,043.80 and 341,379.60

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Solution

The fourth proportional to 416,029.20, 624,043.80 and 341,379.60 is: 512,069.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,029.20 : 624,043.80 = 341,379.60 : x
  2. Step 2: Convert to fraction form
    416,029.20/624,043.80 = 341,379.60/x
  3. Step 3: Cross multiply
    416,029.20x = 624,043.80 × 341,379.60
  4. Step 4: Simplify right side
    416,029.20x = 213,035,822,826.48
  5. Step 5: Solve for x
    x = 213,035,822,826.48/416,029.20
  6. Step 6: Final answer
    x = 512,069.40

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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.