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Finding the Fourth Proportional to 409,021.01, 613,562.25 and 109,494.95

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Solution

The fourth proportional to 409,021.01, 613,562.25 and 109,494.95 is: 164,250.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,021.01 : 613,562.25 = 109,494.95 : x
  2. Step 2: Convert to fraction form
    409,021.01/613,562.25 = 109,494.95/x
  3. Step 3: Cross multiply
    409,021.01x = 613,562.25 × 109,494.95
  4. Step 4: Simplify right side
    409,021.01x = 67,181,964,817.83
  5. Step 5: Solve for x
    x = 67,181,964,817.83/409,021.01
  6. Step 6: Final answer
    x = 164,250.65

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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.