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Finding the Fourth Proportional to 492,805.41, 739,213.98 and 193,426.98

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Solution

The fourth proportional to 492,805.41, 739,213.98 and 193,426.98 is: 290,142.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,805.41 : 739,213.98 = 193,426.98 : x
  2. Step 2: Convert to fraction form
    492,805.41/739,213.98 = 193,426.98/x
  3. Step 3: Cross multiply
    492,805.41x = 739,213.98 × 193,426.98
  4. Step 4: Simplify right side
    492,805.41x = 142,983,927,725.18
  5. Step 5: Solve for x
    x = 142,983,927,725.18/492,805.41
  6. Step 6: Final answer
    x = 290,142.77

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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.