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Finding the Fourth Proportional to 5,394,934.40, 8,092,401.60 and 1,405,846.40

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Solution

The fourth proportional to 5,394,934.40, 8,092,401.60 and 1,405,846.40 is: 2,108,769.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,394,934.40 : 8,092,401.60 = 1,405,846.40 : x
  2. Step 2: Convert to fraction form
    5,394,934.40/8,092,401.60 = 1,405,846.40/x
  3. Step 3: Cross multiply
    5,394,934.40x = 8,092,401.60 × 1,405,846.40
  4. Step 4: Simplify right side
    5,394,934.40x = 11,376,673,656,714.24
  5. Step 5: Solve for x
    x = 11,376,673,656,714.24/5,394,934.40
  6. Step 6: Final answer
    x = 2,108,769.60

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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.