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Finding the Fourth Proportional to 274,871.20, 412,424.16 and 117,173.92

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Solution

The fourth proportional to 274,871.20, 412,424.16 and 117,173.92 is: 175,810.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,871.20 : 412,424.16 = 117,173.92 : x
  2. Step 2: Convert to fraction form
    274,871.20/412,424.16 = 117,173.92/x
  3. Step 3: Cross multiply
    274,871.20x = 412,424.16 × 117,173.92
  4. Step 4: Simplify right side
    274,871.20x = 48,325,355,529.91
  5. Step 5: Solve for x
    x = 48,325,355,529.91/274,871.20
  6. Step 6: Final answer
    x = 175,810.91

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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.