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Finding the Fourth Proportional to 492,777.23, 739,165.85 and 193,398.80

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Solution

The fourth proportional to 492,777.23, 739,165.85 and 193,398.80 is: 290,098.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,777.23 : 739,165.85 = 193,398.80 : x
  2. Step 2: Convert to fraction form
    492,777.23/739,165.85 = 193,398.80/x
  3. Step 3: Cross multiply
    492,777.23x = 739,165.85 × 193,398.80
  4. Step 4: Simplify right side
    492,777.23x = 142,953,788,390.98
  5. Step 5: Solve for x
    x = 142,953,788,390.98/492,777.23
  6. Step 6: Final answer
    x = 290,098.20

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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.