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Finding the Fourth Proportional to 492,806.60, 739,064.10 and 193,114.70

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Solution

The fourth proportional to 492,806.60, 739,064.10 and 193,114.70 is: 289,614.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,806.60 : 739,064.10 = 193,114.70 : x
  2. Step 2: Convert to fraction form
    492,806.60/739,064.10 = 193,114.70/x
  3. Step 3: Cross multiply
    492,806.60x = 739,064.10 × 193,114.70
  4. Step 4: Simplify right side
    492,806.60x = 142,724,141,952.27
  5. Step 5: Solve for x
    x = 142,724,141,952.27/492,806.60
  6. Step 6: Final answer
    x = 289,614.92

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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.