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Finding the Fourth Proportional to 496,108.80, 743,342.40 and 285,379.20

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Solution

The fourth proportional to 496,108.80, 743,342.40 and 285,379.20 is: 427,596.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,108.80 : 743,342.40 = 285,379.20 : x
  2. Step 2: Convert to fraction form
    496,108.80/743,342.40 = 285,379.20/x
  3. Step 3: Cross multiply
    496,108.80x = 743,342.40 × 285,379.20
  4. Step 4: Simplify right side
    496,108.80x = 212,134,459,438.08
  5. Step 5: Solve for x
    x = 212,134,459,438.08/496,108.80
  6. Step 6: Final answer
    x = 427,596.65

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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.