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Finding the Fourth Proportional to 492,054.20, 737,862.60 and 192,435.20

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Solution

The fourth proportional to 492,054.20, 737,862.60 and 192,435.20 is: 288,567.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,054.20 : 737,862.60 = 192,435.20 : x
  2. Step 2: Convert to fraction form
    492,054.20/737,862.60 = 192,435.20/x
  3. Step 3: Cross multiply
    492,054.20x = 737,862.60 × 192,435.20
  4. Step 4: Simplify right side
    492,054.20x = 141,990,737,003.52
  5. Step 5: Solve for x
    x = 141,990,737,003.52/492,054.20
  6. Step 6: Final answer
    x = 288,567.27

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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.