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Finding the Fourth Proportional to 492,176, 738,325.50 and 192,617.84

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Solution

The fourth proportional to 492,176, 738,325.50 and 192,617.84 is: 288,950.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,176 : 738,325.50 = 192,617.84 : x
  2. Step 2: Convert to fraction form
    492,176/738,325.50 = 192,617.84/x
  3. Step 3: Cross multiply
    492,176x = 738,325.50 × 192,617.84
  4. Step 4: Simplify right side
    492,176x = 142,214,663,026.92
  5. Step 5: Solve for x
    x = 142,214,663,026.92/492,176
  6. Step 6: Final answer
    x = 288,950.83

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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.