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Finding the Fourth Proportional to 492,799.50, 739,279.14 and 193,117.60

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Solution

The fourth proportional to 492,799.50, 739,279.14 and 193,117.60 is: 289,707.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,799.50 : 739,279.14 = 193,117.60 : x
  2. Step 2: Convert to fraction form
    492,799.50/739,279.14 = 193,117.60/x
  3. Step 3: Cross multiply
    492,799.50x = 739,279.14 × 193,117.60
  4. Step 4: Simplify right side
    492,799.50x = 142,767,813,246.86
  5. Step 5: Solve for x
    x = 142,767,813,246.86/492,799.50
  6. Step 6: Final answer
    x = 289,707.71

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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.