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Finding the Fourth Proportional to 5,307,658.67, 7,961,494.14 and 1,614,712.61

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Solution

The fourth proportional to 5,307,658.67, 7,961,494.14 and 1,614,712.61 is: 2,422,070.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307,658.67 : 7,961,494.14 = 1,614,712.61 : x
  2. Step 2: Convert to fraction form
    5,307,658.67/7,961,494.14 = 1,614,712.61/x
  3. Step 3: Cross multiply
    5,307,658.67x = 7,961,494.14 × 1,614,712.61
  4. Step 4: Simplify right side
    5,307,658.67x = 12,855,524,942,491.63
  5. Step 5: Solve for x
    x = 12,855,524,942,491.63/5,307,658.67
  6. Step 6: Final answer
    x = 2,422,070.78

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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.