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Finding the Fourth Proportional to 492,048.20, 737,853.60 and 192,429.20

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Solution

The fourth proportional to 492,048.20, 737,853.60 and 192,429.20 is: 288,558.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,048.20 : 737,853.60 = 192,429.20 : x
  2. Step 2: Convert to fraction form
    492,048.20/737,853.60 = 192,429.20/x
  3. Step 3: Cross multiply
    492,048.20x = 737,853.60 × 192,429.20
  4. Step 4: Simplify right side
    492,048.20x = 141,984,577,965.12
  5. Step 5: Solve for x
    x = 141,984,577,965.12/492,048.20
  6. Step 6: Final answer
    x = 288,558.27

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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.