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Finding the Fourth Proportional to 408,056.40, 612,084.60 and 141,843.83

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Solution

The fourth proportional to 408,056.40, 612,084.60 and 141,843.83 is: 212,765.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,056.40 : 612,084.60 = 141,843.83 : x
  2. Step 2: Convert to fraction form
    408,056.40/612,084.60 = 141,843.83/x
  3. Step 3: Cross multiply
    408,056.40x = 612,084.60 × 141,843.83
  4. Step 4: Simplify right side
    408,056.40x = 86,820,420,887.60
  5. Step 5: Solve for x
    x = 86,820,420,887.60/408,056.40
  6. Step 6: Final answer
    x = 212,765.74

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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.