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Finding the Fourth Proportional to 362,813.60, 543,766.80 and 185,391.20

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Solution

The fourth proportional to 362,813.60, 543,766.80 and 185,391.20 is: 277,855.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,813.60 : 543,766.80 = 185,391.20 : x
  2. Step 2: Convert to fraction form
    362,813.60/543,766.80 = 185,391.20/x
  3. Step 3: Cross multiply
    362,813.60x = 543,766.80 × 185,391.20
  4. Step 4: Simplify right side
    362,813.60x = 100,809,579,572.16
  5. Step 5: Solve for x
    x = 100,809,579,572.16/362,813.60
  6. Step 6: Final answer
    x = 277,855.02

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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.