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Finding the Fourth Proportional to 444,615.40, 666,923.10 and 413,122.60

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Solution

The fourth proportional to 444,615.40, 666,923.10 and 413,122.60 is: 619,683.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,615.40 : 666,923.10 = 413,122.60 : x
  2. Step 2: Convert to fraction form
    444,615.40/666,923.10 = 413,122.60/x
  3. Step 3: Cross multiply
    444,615.40x = 666,923.10 × 413,122.60
  4. Step 4: Simplify right side
    444,615.40x = 275,521,005,072.06
  5. Step 5: Solve for x
    x = 275,521,005,072.06/444,615.40
  6. Step 6: Final answer
    x = 619,683.90

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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.